Almost potent manifolds

Authors

Keywords:

Almost potent structure, almost Potent manifold, Hermitian potent manifold, Kaehler potent,sectional curvature, holomorphic sectional curvature, real space form, potent sectional curvature, potent space form

Abstract

In this paper we introduce a new manifold, namely potent manifolds. We give examples and investigate the integrability conditions. We also check the curvature relations of Kaehler potent manifolds and show that such manifolds are flat when it has constant sectional curvature. Then we introduce potent sectional curvature and obtain a spacial form of the curvature tensor field when its potent sectional curvature is a constant.

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Published

2025-01-21

How to Cite

Sahin, B. (2025). Almost potent manifolds. Calculation, 1(1), 35–43. Retrieved from https://simadp.com/calculation/article/view/calcv1i1-3

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Articles