Submanifolds of a Riemannian manifold with semisymmetric metric connections-Reference-Cited by-同舟云学术

Submanifolds of a Riemannian manifold with semisymmetric metric connections

Published:1976 Issue:1 Volume:54 Page:261-266
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Nakao Zensho

Abstract

We derive the Gauss curvature equation and the Codazzi-Mainardi equation with respect to a semisymmetric metric connection on a Riemannian manifold and the induced one on a submanifold. We then generalize the theorema egregium of Gauss.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-054-01/S0002-9939-1976-0445416-9/S0002-9939-1976-0445416-9.pdf

Reference7 articles.

1. Submanifolds of semi-Riemannian manifolds;Hicks, Noel;Rend. Circ. Mat. Palermo (2),1963

2. Van Nostrand Mathematical Studies, No. 3;Hicks, Noel J.,1965

3. Notes on semi-symmetric metric connections;Imai, Tyuiti;Tensor (N.S.),1972

4. Hypersurfaces of a Riemannian manifold with semi-symmetric metric connection;Imai, Tyuiti;Tensor (N.S.),1972

5. Interscience Tracts in Pure and Applied Mathematics, No. 15 Vol. II;Kobayashi, Shoshichi,1969

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Constant sectional curvature surfaces with a semi-symmetric non-metric connection;Journal of Mathematical Analysis and Applications;2025-02

2. A Note on a Well-Defined Sectional Curvature of a Semi-Symmetric Non-Metric Connection;International Electronic Journal of Geometry;2024-04-23

3. On Ricci solitons with quarter-symmetric connection;Ricerche di Matematica;2024-04-09

4. An Optimal Inequality for the Normal Scalar Curvature in Metallic Riemannian Space Forms;Mathematics;2023-05-11

5. Optimal Inequalities for Submanifolds in Trans-Sasakian Manifolds Endowed with a Semi-Symmetric Metric Connection;Symmetry;2023-04-06