Discusses existence of specific types of symmetric manifolds.
problem Existence of weakly cyclic -symmetric manifolds.
method Analyzes defining conditions and provides examples.
result Provides proper examples of weakly cyclic -symmetric manifolds.
On-device research index
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.
169,181 papers · 148 categories
Trend · papers per month
4 results for “Z-symmetric”
Weakly Z symmetric manifoldsmath.DG
We introduce a new kind of Riemannian manifold that includes weakly-, pseudo- and pseudo projective- Ricci symmetric manifolds. The manifold is defined through a generalization of the so called Z tensor; it is named "weakly Z symmetric" and denoted by (WZS)_n. If the Z tensor is singular we give conditions for the exis…
The paper studies -para-Sasakian 3-manifolds with -symmetry conditions.
problem Characterizing -para-Sasakian 3-manifolds under -symmetry conditions.
method Examining various -symmetric conditions on -para-Sasakian 3-manifolds.
result Characterizations of -symmetric, -semisymmetric, -pseudosymmetric, and projectively -semisymmetric conditions.
The notion of -symmetric space is a natural generalization of the classical notion of symmetric space based on -grading of Lie algebras. In our case, we consider homogeneous spaces such that the Lie algebra $\g$ of admits a -grading where is a finite abelian group. In this work we study Rieman…