On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection

On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection

In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the semi-s...

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Bibliographic Details
Main Authors: Jing Li, Guoqing He, Peibiao Zhao
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Symmetry
Subjects:
semi-symmetric non-metric connection
submanifold
Online Access:https://www.mdpi.com/2073-8994/9/7/112
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spelling doaj-035e44d123884b51804ece3a07c53e802020-11-25T00:46:08ZengMDPI AGSymmetry2073-89942017-07-019711210.3390/sym9070112sym9070112On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric ConnectionJing Li0Guoqing He1Peibiao Zhao2School of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Mathematics and Computer Science, AnHui Normal University, Wuhu 241000, China;School of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaIn this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the semi-symmetric non-metric connection. We obtain the Gauss, Cadazzi, and Ricci equations for submanifolds with respect to the semi-symmetric non-metric connection.https://www.mdpi.com/2073-8994/9/7/112semi-symmetric non-metric connectionsubmanifold
collection DOAJ
language English
format Article
sources DOAJ
author Jing Li
Guoqing He
Peibiao Zhao
spellingShingle Jing Li
Guoqing He
Peibiao Zhao
On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
Symmetry
semi-symmetric non-metric connection
submanifold
author_facet Jing Li
Guoqing He
Peibiao Zhao
author_sort Jing Li
title On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
title_short On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
title_full On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
title_fullStr On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
title_full_unstemmed On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
title_sort on submanifolds in a riemannian manifold with a semi-symmetric non-metric connection
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2017-07-01
description In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the semi-symmetric non-metric connection. We obtain the Gauss, Cadazzi, and Ricci equations for submanifolds with respect to the semi-symmetric non-metric connection.
topic semi-symmetric non-metric connection
submanifold
url https://www.mdpi.com/2073-8994/9/7/112
work_keys_str_mv AT jingli onsubmanifoldsinariemannianmanifoldwithasemisymmetricnonmetricconnection
AT guoqinghe onsubmanifoldsinariemannianmanifoldwithasemisymmetricnonmetricconnection
AT peibiaozhao onsubmanifoldsinariemannianmanifoldwithasemisymmetricnonmetricconnection
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