Chen-like Inequalities for Submanifolds in Kähler Manifolds Admitting Semi-Symmetric Non-Metric Connections

Symmetry, Journal Year: 2024, Volume and Issue: 16(10), P. 1401 - 1401

Published: Oct. 21, 2024

The geometry of submanifolds in Kähler manifolds is an important research topic. In the present paper, we study complex space forms admitting a semi-symmetric non-metric connection. We prove Chen–Ricci inequality, Chen basic and generalized Euler inequality for such submanifolds. These inequalities provide estimations mean curvature (the main extrinsic invariants) terms intrinsic invariants: Ricci curvature, invariant, scalar curvature. proofs, use sectional semi-symmetric, connection recently defined by A. Mihai first author, as well its properties.

Language: Английский

Application of Differential Equations on the Ricci Curvature of Contact CR-Warped Product Submanifolds of S2n+1(1) with Semi-Symmetric Metric Connection

Symmetry, Journal Year: 2024, Volume and Issue: 16(11), P. 1463 - 1463

Published: Nov. 4, 2024

In this paper, we explore the uses of Obata’s differential equation in relation to Ricci curvature an odd-dimensional sphere that possesses a semi-symmetric metric connection. Specifically, establish that, given certain conditions, underlying submanifold can be identified as isometric sphere. Additionally, investigate impact specific equations on these submanifolds and demonstrate when geometric conditions are met, base characterized special type warped product.

Language: Английский