March 3, 20260 citationsOpen Access

STUDY OF QUASI-CONFORMALLY FLAT α - SASAKIAN MANIFOLD UNDER ZAMKOVOY CONNECTION

Key Points

The study reveals distinct curvature requirements for α-sasakian manifolds under Zamkovoy connection.
Notably, the research focuses on both pseudo quasi-conformally flat and projectively flat a-sasakian manifolds.
The analysis includes specific geometric features like the quasi M* and ϕ-M* classifications for α-sasakian manifolds.
The investigation suggests implications for geometric understanding in higher-dimensional manifolds.

Abstract

The present work is constructed with the study of pseudo-quasi conformally α-Sasakian manifold with Zamkovoy connection. Also we examine ϕ-pseudo quasi-conformally flat α-Sasakian manifold under the Zamkovoy connection. We also design projectively flat α-Sasakian manifold for Zamkovoy connection that is quasi M* and ϕ-M*. Next, we examine a unique curvature requirement for α-Sasakian manifold with Zamkovoy connection.

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Cite This Study

Amit Sil (Wed,) studied this question.

synapsesocial.com/papers/69a75b21c6e9836116a21e39 https://doi.org/https://doi.org/10.5281/zenodo.18386606

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