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On Semi-Symmetric Metric Connection

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TLDR
In this article, the authors study the property of D-conharmonic transformation and obtain that the identity transformation is actually the identity transform, which is the transformation of the D-ConHarmonic transformation.
Abstract
We study the property of D-conharmonic transformation and obtain that the D-conharmonic transformation is actually the identity transformation.

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Journal ArticleDOI

Linear connections and curvature tensors in the geometry of parallelizable manifolds

TL;DR: In this article, the authors discuss linear connections and curvature tensors in the context of geometry of parallelizable manifolds (or absolute parallelism geometry) using Bianchi identities.
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Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection

TL;DR: In this article, Chen inequalities for submanifolds of real space forms endowed with a semi-symmetric metric connection were proved for the case of the Ricci curvature.
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A new connection in a Riemannian manifold

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A new connection in a Riemannian manifold

TL;DR: In this paper, the existence of a new connection in a Riemannian manifold is proved and a formula for curvature tensor of the new connection is also found, where the connection reduces to several symmetric, semi-symmetric, and quarter-switching connections, even some of them are not introduced so far.
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On semi-symmetric metric connection in sub-Riemannian manifold

TL;DR: In this paper, a semi-symmetric metric nonholonomic connection on sub-Riemannian manifolds is defined and an invariant under a SS-connection transformation is obtained.