Journal of the Tensor Society

Linear deformations of closed non-singular 1-forms into even contact and Engel defining forms

Serigne Abdoul Aziz Dramé — 2025-06-12

An Engel structure is a maximally non-integrable plane field on a 4-dimensional smooth manifold. Line fields, contact structures, even-contact structures (maximally non-integrable hyperplane fields on even-dimensional manifolds) and Engel structures are the only distributions which are stable under C2-small perturbations. In this paper we investigate linear deformations of closed
non-singular one forms into even

Chen Inequalities for Slant Submanifolds of Conformal Sasakian space forms

Mehrj Ahmad Lone — 2025-06-12

The present paper is devoted to obtain some basic inequalities for submanifolds of conformal Sasakian space from.

On Clairaut semi-invariant Riemannian maps to Sasakian manifolds

Ravit Kumar — 2025-06-12

In this paper, we define Clairaut semi-invariant Riemannian maps to Sasakian manifolds. We obtain the necessary and sufficient conditions for a curve on a base manifold to be geodesic. We also find the conditions for semi-invaraint Riemannian maps to be Clairaut semiinvariant Riemannian map. Further, we calculate the necessary and sufficient conditions of these maps to be totally geodesic. Also, we discuss the biharmonicity condition of this map. Later on, we obtain the inequality results for these maps. Finally, we give non-trivial examples to show the existence of these maps.

Non-existence of warped product slant lightlike submanifolds

Rashmi Sachdeva — 2025-06-12

We study hemi-slant lightlike submanifolds of indefinite Cosymplectic manifolds. We establish some necessary and sufficient conditions for such submanifolds to be minimal. We also obtain some characterization theorems for the non-existence of warped product slant lightlike submanifolds of indefinite Cosymplectic manifolds.

Decomposition Theorems and Pluriharmonicity of Conformal Quasi Bi-Slant Submersions from Cosymplectic Manifolds

Tanveer Fatima — 2025-06-12

In this paper, we study conformal quasi bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of bi-slant submersions and hemi-slant submersions. We discuss integrability
conditions for distributions with the study of geometry of leaves of the distributions. Also, we explore some decomposition theorems and pluriharmonicity for conformal quasi bi-slant submersion and provide non-trivial examples to support the study.