Classification of 3-dimensional conformally flat Quasi-Para-Sasakian Manifolds
Irem Kupeli Erken
TL;DR
This paper investigates the conditions under which 3-dimensional quasi-Para-Sasakian manifolds are conformally flat, providing necessary and sufficient criteria and characterizations for specific cases.
Contribution
It offers new criteria and characterizations for 3-dimensional conformally flat quasi-Para-Sasakian manifolds, advancing understanding in differential geometry.
Findings
Necessary and sufficient conditions for conformal flatness.
Characterization of manifolds with constant {eta}.
Enhanced understanding of 3D quasi-Para-Sasakian geometry.
Abstract
The object of the present paper is to study 3-dimensional conformally flat quasi-Para-Sasakian manifolds. First, the necessary and sufficient conditions are provided for 3-dimensional quasi-Para-Sasakian manifolds to be conformally flat. Next, a characterization of 3-dimensional conformally flat quasi-Para-Sasakian manifold with \b{eta}=const. is given.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations