https://tensorsociety.com/journal/index.php/JTS/issue/feed Journal of the Tensor Society 2025-06-23T12:16:53+00:00 Prof. Sudhir Kumar Srivastava editor@tensorsociety.org Open Journal Systems <p>The Journal of the Tensor Society (JTS) is the official organ of The Tensor Society and publishes original research articles in differential geometry, relativity, cosmology, and all interdisciplinary areas in mathematics that utilize differential geometric methods and structures. The following main areas are covered: differentiable manifolds, Finsler geometry, Lie groups, local and global differential geometry, General Relativity, and geometric theories of gravitation; cosmology, dark energy, dark matter, the accelerating universe, geometric models for particle physics; supergravity and supersymmetric field theories; classical and quantum field theory; gauge theories; topological field theories; and the geometry of chaos. In addition to original research, the Journal of the Tensor Society also publishes focused review articles that assess the state of the art, identify upcoming challenges, and propose promising solutions for the community.</p> https://tensorsociety.com/journal/index.php/JTS/article/view/247 Linear deformations of closed non-singular 1-forms into even contact and Engel defining forms 2025-06-23T12:16:53+00:00 Serigne Abdoul Aziz Dramé serigneabdoulaziz.drame@ucad.edu.sn Cheikh Khoule cheikh1.khoule@ucad.edu.sn Ameth Ndiaye ameth1.ndiaye@ucad.edu.sn <p>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<br>non-singular one forms into even</p> 2025-06-12T00:00:00+00:00 ##submission.copyrightStatement## https://tensorsociety.com/journal/index.php/JTS/article/view/253 Chen Inequalities for Slant Submanifolds of Conformal Sasakian space forms 2025-06-19T05:51:59+00:00 Mehrj Ahmad Lone mehraj.jmi@gmail.com Idrees Harry harryidrees96@gmail.com <p>The present paper is devoted to obtain some basic inequalities for submanifolds of conformal Sasakian space from.</p> 2025-06-12T00:00:00+00:00 ##submission.copyrightStatement## https://tensorsociety.com/journal/index.php/JTS/article/view/254 On Clairaut semi-invariant Riemannian maps to Sasakian manifolds 2025-06-19T05:57:10+00:00 Ravit Kumar ravitbhagat8@gmail.com Praveen Kumar Yadav khutsiapraveen@gmail.com Gauree Shanker gauree.shanker@cup.edu.in <p>In this paper, we define Clairaut semi-invariant Riemannian&nbsp;maps to Sasakian manifolds. We obtain the necessary and sufficient&nbsp;conditions for a curve on a base manifold to be geodesic. We also find&nbsp;the conditions for semi-invaraint Riemannian maps to be Clairaut semiinvariant&nbsp;Riemannian map. Further, we calculate the necessary and sufficient&nbsp;conditions of these maps to be totally geodesic. Also, we discuss&nbsp;the biharmonicity condition of this map. Later on, we obtain the inequality&nbsp;results for these maps. Finally, we give non-trivial examples to&nbsp;show the existence of these maps.</p> 2025-06-12T00:00:00+00:00 ##submission.copyrightStatement## https://tensorsociety.com/journal/index.php/JTS/article/view/256 Non-existence of warped product slant lightlike submanifolds 2025-06-19T06:11:54+00:00 Rashmi Sachdeva rashmi.sachdeva86@gmail.com Reetu Maini reetu_bas@pbi.ac.in Garima Gupta garima@pbi.ac.in Rachna Rani rachna@pbi.ac.in <p>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.</p> 2025-06-12T00:00:00+00:00 ##submission.copyrightStatement## https://tensorsociety.com/journal/index.php/JTS/article/view/257 Decomposition Theorems and Pluriharmonicity of Conformal Quasi Bi-Slant Submersions from Cosymplectic Manifolds 2025-06-19T06:14:18+00:00 Tanveer Fatima tansari@taibahu.edu.sa Mohammad Shuaib shuaibyousuf6@gmail.com <p>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<br> 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.</p> 2025-06-12T00:00:00+00:00 ##submission.copyrightStatement##