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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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48 results for non-symmetric non-metric connection

The paper studies special warped products with a specific connection on super Riemannian manifolds.

problem Investigating curvature and Ricci tensors on super warped product spaces with a semi-symmetric non-metric connection.
method Defined a semi-symmetric non-metric connection, computed curvature and Ricci tensors, and introduced and analyzed two types of super warped product spaces.
result Conditions for two super warped product spaces with a semi-symmetric non-metric connection to be Einstein spaces are provided.

The study investigates properties of a specific Riemannian manifold with a semi-symmetric non-metric connection.

problem Characterizing properties of a Riemannian manifold with a semi-symmetric non-metric connection.
method Construction of a non-trivial example, proving manifold properties based on the metric being a gradient soliton or Yamabe soliton.
result A manifold with a semi-symmetric non-metric connection and gradient Ricci/Yamabe soliton is of constant curvature.

H. A. Hayden [1] introduced the idea of semi-symmetric non-metric connection on a Riemannian manifold in (1932). Agashe and Chafle \cite{1} defined and studied semi-symmetric non-metric connection on a Riemannian manifold. In the present paper, we define a new type of semi-symmetric non-metric connexion in an almost co…

2017-11-03abs ↗pdf ↗

In this paper, we study the Einstein multiply warped products with a semi-symmetric non-metric connection and the multiply warped products with a semi-symmetric non-metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric non-metric connecti…

2012-07-21abs ↗pdf ↗

The paper studies a new connection on Riemannian manifolds and finds conditions for symplectic manifolds.

problem Exploring a new quarter-symmetric non-metric connection on Riemannian manifolds.
method Analyzes the properties and relations of the torsion tensor and curvature tensors of the new connection.
result Conditions for a manifold to be symplectic when endowed with the new connection.

Formulae for non-symmetric connections derived from covariant derivatives.

problem Deriving commutation formulae for non-symmetric affine connections.
method Covariant derivatives of tensors with respect to symmetric and non-symmetric affine connections.
result Formulae for non-symmetric connections derived from covariant derivatives.

The paper studies geometric structures of wormholes using a new connection.

problem Exploring new geometric properties of wormholes.
method Extended Levi-Civita connection to semi-symmetric non-metric connections.
result Morris-Thorne wormholes exhibit specific geometric properties.

Paper derives inequalities for submanifolds in a specific geometric space.

problem Chen's inequalities for submanifolds in (κ,μ)(κ,μ)-contact space form.
method Using generalized semi-symmetric non-metric connections.
result Derives new inequalities for submanifolds.

Paper establishes inequality for submanifolds in real space forms with semi-symmetric non-metric connection.

problem Deriving a sharp lower bound for Ricci curvature of submanifolds.
method Using semi-symmetric non-metric connection, derive a lower bound for Ricci curvature in terms of mean curvature vector and second fundamental form.
result Established Hineva inequality for submanifolds with semi-symmetric non-metric connection.

Study non-integrable distributions with various affine connections.

problem Characterize non-integrable distributions in Riemannian manifolds with different connections.
method Obtain Gauss, Codazzi, and Ricci equations for non-integrable distributions with semi-symmetric metric, non-metric, and statistical connections.
result Find new examples of Einstein and distributions with constant scalar curvature.

Study characterizes submanifolds in metallic semi-Riemannian manifolds with specific connections.

problem Characterizing submanifolds in metallic semi-Riemannian manifolds.
method Introduces and analyzes invariant and screen semi-invariant lightlike submanifolds with a quarter symmetric non-metric connection.
result Characterizes integrability and parallelism of distributions in these submanifolds.

Study on surfaces with constant curvature under a specific connection.

problem Classifying surfaces with constant sectional curvature under a semi-symmetric non-metric connection.
method Analyzing surfaces in R3\mathbb{R}^3 with a canonical semi-symmetric non-metric connection determined by a vector field.
result Classification of surfaces under various conditions (cylindrical, rotational) with constant sectional curvature.

New invariants found for mappings between non-symmetric affine spaces.

problem Finding new invariants for mappings between non-symmetric affine spaces.
method Obtained invariants using factored deformation tensor and novel Weyl type invariants.
result Novel Weyl type invariants for mappings between non-symmetric affine spaces.

Einstein's non-symmetric geometry uses Bochner's technique to prove decomposition and vanishing results.

problem Analyzing Einstein's non-symmetric geometry with Bochner's technique.
method Defining concepts, proving decomposition formula, and showing vanishing results.
result Vanishing results about the null space of Bochner and Hodge type Laplacians.

It is developed the considerations from (S. M. Minčić, [14, 15]) about curvature tensors and pseudotensors for a non-symmetric affine connection space in this paper. How many kinds of covariant derivatives are enough to be defined for complete researching in the field of non-symmetric affine connection spaces is examin…

2019-07-01abs ↗pdf ↗

We consider equitorsion second type almost geodesic mappings of a non-symmetric affine connection space in this article. Using different computational methods, we obtained some invariants of these mappings. Last generalized Thomas projective parameter and Weyl projective tensor as invariants of a second type almost geo…

2016-09-23abs ↗pdf ↗

The paper extends gradient flow and relaxation studies to non-flat Riemannian manifolds.

problem Understanding gradient flows and relaxation in non-flat Riemannian manifolds.
method Developed a criterion for comparing relaxation along gradient descent curves using non-metricity tensor.
result Revealed a universal asymmetry: warming up is faster than cooling down.

New insights into metrizability of SO(3)-invariant connections, linking Riemann and Finsler structures.

problem Clarifying metrizability of SO(3)-invariant connections between Riemann and Finsler structures.
method Analyzing 4D SO(3)-invariant, Berwald-Finsler metrizable connections to find non-metric but metrizable connections.
result Identified classes of SO(3)-invariant connections that are not Levi-Civita connections for any pseudo-Riemannian metric but can still be metrized by Finsler functions.

Study of minimal surfaces in 3D space with special connections.

problem Classification of minimal translation surfaces in Euclidean spaces with semi-symmetric connections.
method Analysis of singular minimal translation surfaces in a 3D Euclidean space with a semi-symmetric connection.
result Classification of singular minimal translation surfaces in Euclidean spaces with semi-symmetric connections.

The paper classifies geometric structures of δ-almost Yamabe solitons on paracontact metric manifolds.

problem Characterizing δ-almost Yamabe solitons on paracontact metric manifolds.
method Investigation of geometric structures under specific assumptions, including quarter-symmetric non-metric connections.
result Conditions for δ-almost Yamabe solitons to be expanding, steady, or shrinking.

Develops method to compute Chern-Simons potentials from higher-dimensional Pontryagin densities.

problem Computing Chern-Simons potentials from higher-dimensional Pontryagin densities.
method Systematic approach using a generic affine connection with non-vanishing torsion and non-metricity.
result Algorithm and code for determining Chern-Simons potential from Pontryagin density in arbitrary even dimensions.

We show that a large class of non-metric, non-symplectic affine holonomies can be realized, uniformly and without case by case considerations, by Weyl connections associated to the natural AHS-structures on certain generalized flag manifolds.

2008-04-11abs ↗pdf ↗

The study classifies minimal translation surfaces in 3D and 3D_1.

problem Classifying minimal translation surfaces in specific geometric settings.
method Defined and classified minimal translation surfaces with semi-symmetric connections.
result New classification of minimal translation surfaces in R3\mathbb{R}^3 and R13\mathbb{R}^3_1.

We investigate L-sectional curvature of S-manifolds with respect to the Rieman- nian connection and to certain semi-symmetric metric and non-metric connections naturally related with the structure, obtaining conditions for them to be constant and giving examples of S-manifolds in such conditions. Moreover, we calculate…

2013-02-08abs ↗pdf ↗

It is well-known that sigma-models with symmetric target spaces are classically integrable. At the example of the model with target space the flag manifold U(3)/U(1)^3 -- a non-symmetric space -- we show that the introduction of torsion allows to cast the equations of motion in the form of a zero-curvature condition fo…

2014-12-11abs ↗pdf ↗

New estimates show all stable Einstein manifolds are linear stable with respect to Perelman's ν-entropy.

problem Estimating the smallest eigenvalue of Laplace-Beltrami operator for stable Einstein manifolds.
method Estimating the smallest positive eigenvalue λ1λ_1 of the Laplace-Beltrami operator for standard Einstein manifolds (G/H,gst)(G/H,g_{\operatorname{st}}) and proving λ1>2Eλ_1>2E for all but 7 exceptions.
result All stable Einstein manifolds found by Schwahn are linear stable with respect to Perelman's ν-entropy.

It is well-known that a torsion-free linear connection on a light-like manifold (M,g)(M,g) compatible with the degenerate metric gg exists if and only if Rad(TM)Rad(TM) is a Killing distribution. In case of existence, there is an infinitude of connections with none distinguished. We propose a method to single out connections …

2007-01-31abs ↗pdf ↗

The paper classifies translation surfaces with constant curvature in a specific connection.

problem Classifying translation surfaces with constant curvature in a semi-symmetric non-metric connection.
method Completely classified translation surfaces of constant sectional curvature in a semi-symmetric non-metric connection.
result Translation surfaces of constant curvature are generalized cylinders, similar to the Levi-Civita connection but with additional non-constant curvature cases.

The paper extends affine connection results to singular warped and twisted products.

problem Generalizing affine connections to singular warped and twisted products.
method Study of singular multiply warped products and singular twisted products with semi-symmetric metric and non-metric connections, discussing Koszul forms and curvature.
result Theoretical results on curvature and Koszul forms for singular multiply warped and twisted products.