Some vector fields on a Riemannian manifold with semi-symmetric metric connection

Füsun Özen Zengin; Sezgin Altay Demirbaǧ; S. Aynur Uysal; Hülya Baǧdatli Yilmaz

Some vector fields on a Riemannian manifold with semi-symmetric metric connection

Füsun Özen Zengin, Sezgin Altay Demirbaǧ, S. Aynur Uysal, Hülya Baǧdatli Yilmaz

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

In the first part of our work, some results are given for a Riemannian manifold with semi-symmetric metric connection. In the second part, some special vector fields, such as torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.

Original language	English
Pages (from-to)	479-490
Number of pages	12
Journal	Bulletin of the Iranian Mathematical Society
Volume	38
Issue number	2
Publication status	Published - Jul 2012

Keywords

Concurrent vector field
Recurrent vector field
Semi-symmetric metric connection
Torse-forming vector field

Cite this

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title = "Some vector fields on a Riemannian manifold with semi-symmetric metric connection",

abstract = "In the first part of our work, some results are given for a Riemannian manifold with semi-symmetric metric connection. In the second part, some special vector fields, such as torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.",

keywords = "Concurrent vector field, Recurrent vector field, Semi-symmetric metric connection, Torse-forming vector field",

author = "Zengin, {F{\"u}sun {\"O}zen} and Demirbaǧ, {Sezgin Altay} and Uysal, {S. Aynur} and Yilmaz, {H{\"u}lya Baǧdatli}",

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AU - Zengin, Füsun Özen

AU - Demirbaǧ, Sezgin Altay

AU - Uysal, S. Aynur

AU - Yilmaz, Hülya Baǧdatli

PY - 2012/7

Y1 - 2012/7

N2 - In the first part of our work, some results are given for a Riemannian manifold with semi-symmetric metric connection. In the second part, some special vector fields, such as torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.

AB - In the first part of our work, some results are given for a Riemannian manifold with semi-symmetric metric connection. In the second part, some special vector fields, such as torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.

KW - Concurrent vector field

KW - Recurrent vector field

KW - Semi-symmetric metric connection

KW - Torse-forming vector field

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VL - 38

SP - 479

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JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 2

ER -

Some vector fields on a Riemannian manifold with semi-symmetric metric connection

Abstract

Keywords

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