A note on trans-Sasakian manifolds
Sharief Deshmukh, Mukut Mani Tripathi
TL;DR
This paper explores conditions under which 3-dimensional trans-Sasakian manifolds are homothetic to Sasakian manifolds and characterizes 3-dimensional cosymplectic manifolds, contributing to the understanding of their geometric structures.
Contribution
It provides new sufficient conditions for trans-Sasakian manifolds to be homothetic to Sasakian manifolds and characterizes 3-dimensional cosymplectic manifolds.
Findings
Sufficient conditions for homothety to Sasakian manifolds
Characterization of 3-dimensional cosymplectic manifolds
Enhanced understanding of trans-Sasakian manifold structures
Abstract
In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities