arXiv research

The paper examines Einstein doubly warped product manifolds with a semi-symmetric metric connection.

The paper studies a new type of submanifolds in product spaces.

The study examines Einstein-Finsler spaces using Minkowskian products.

Defines products for fibered corners manifolds, generalizing resolutions.

Study describes conformal product structures on compact Kähler manifolds.

A Riemannian almost product manifold with integrable almost product structure is called a Riemannian product manifold. In the present paper the natural connections on such manifolds are studied, i.e. the linear connections preserving the almost product structure and the Riemannian metric.

Paper defines new submanifolds in Kaehler manifolds.

The paper defines and analyzes curvature tensors on super twisted product spaces.

We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of two locally metallic Riemannian manifolds to be locally metallic. The particular case of product manifolds is discussed and an example of m…

Defined and proved monotonicity of a product on compact Hermitian manifolds.

New result on Einstein manifolds using conformal product structures.

Products of LCK manifolds do not admit LCK structures.

Characterizes and examines gradient solitons on doubly warped product manifolds.

Study on properties of tangential hypersurfaces in product-like manifolds.

The paper explores formulas and applications for mixed scalar curvature in multi-product manifolds.

The paper studies conformal Ricci solitons in warped product spaces.

The study characterizes submanifolds in product spaces.

Isoperimetric regions in scaled product manifolds are products of regions in each factor.

Einstein metrics on products are shown to be warped.

In this paper we study the warped product submanifolds of a Lorentzian paracosymplectic manifold and obtain some nonexistence results. We show that a warped product semi-invariant submanifold in the form {$M=M_{T}\times_{f}M_{\bot}$} of Lorentzian paracosymplectic manifold such that the characteristic vector field is n…

We introduce polar metrics on a product manifold, which have product and warped product metrics as special cases. We prove a de Rham-type theorem characterizing Riemannian manifolds that can be locally decomposed as a product manifold endowed with a polar metric. For a product manifold endowed with a polar metric, our …

In this paper, we introduce horizontal and vertical warped product Finsler manifold. We prove that every C-reducible or proper Berwaldian doubly warped product Finsler manifold is Riemannian. Then, we find the relation between Riemmanian curvatures of doubly warped product Finsler manifold and its components, and consi…

Study on harmonicity of complex structure on product of trans-Sasakian manifolds.

The warped product $N_1\times_f N_2$ of two Riemannian manifolds $(N_1,g_1)$ and $(N_2,g_2)$ is the product manifold $N_1\times N_2$ equipped with the warped product metric $g=g_1+f^2 g_2$, where $f$ is a positive function on $N_1$. Warped products play very important roles in differential geometry as well as in physic…

The paper studies affine connections on singular warped products and their curvature.

The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are Ricci soliton. Then we study Ricci soliton on warped product manifolds admitting either a conformal…

The paper studies geometric properties of a specific type of submanifolds in Kaehler manifolds.

Study new warped product metric in contact geometry.

The paper explores warped-like product metrics with exceptional holonomy groups.

The study characterizes geometries of hypersurfaces in warped product and conformal manifolds.

Study bigraded formality and Aeppli-Bott-Chern-Massey products on complex manifolds.

This study aims mainly at investigating the effects of concircular flatness and concircular symmetry of a warped product manifold on its fibre and base manifolds. Concircularly flat and concircularly symmetric warped product manifolds are investigated. The divergence free concircular curvature tensor on warped product …

The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non-integrable almost product structure. We construct and characterize an…

Study Einstein warped products with Einstein base and fiber.

Study finds conditions for certain warped product manifolds to be quasi-Einstein.

Warped product construction for Finsler manifolds with curvature conditions.

Study on special symmetries in biwarped product 3-manifolds.

Warped product manifolds have been studied for a long period of time. In contrast, the study of warped product submanifolds from extrinsic point of view was initiated by the first author around the beginning of this century in [7, 8]. Since then the study of warped product submanifolds has been investigated by many geo…

On the product of two Finsler manifolds M1 M2, we consider the twisted metric F which is construct by using Finsler metrics F1 and F2 on the manifolds M1 and M2, respectively. We introduce horizontal and vertical distributions on twisted product Finsler manifold and study Creducible and semi-C-reducible properties of t…

No conformal product structures on compact manifolds with constant curvature.

Study stability of operators on warped product manifolds.

The warped product $N_1\times_f N_2$ of two Riemannian manifolds $(N_1,g_1)$ and $(N_2,g_2)$ is the product manifold $N_1\times N_2$ equipped with the warped product metric $g=g_1+f^2 g_2$, where $f$ is a positive function on $N_1$. The notion of warped product manifolds is one of the most fruitful generalizations of R…

Warped product affects divergences in information geometry.

We show that if a surgery on a knot in a product sutured manifold yields the same product sutured manifold, then this knot is a 0-- or 1--crossing knot. The proof uses techniques from sutured manifold theory.

Study conformal product structures on reducible Riemannian manifolds.

Study Einstein warped-product manifolds with specific curvature conditions.

Constructing a conformal product structure on $S^3$ using the Reeb foliation.

Existence of hypersurfaces in warped product manifolds proven.