Generalized Sasakian Space form Admitting Semi-Symmetric Connection

AUTHOR AND
AFFILIATION

SAVITHRI SHASHIDHAR and SOMASHEKHARA.G
Department of Mathematics, Bangalore University, Central College Campus, Bengaluru – 560 001 (India)
Department of Mathematics, Acharya Institute of Technology, Bengaluru (India)
E-mail address: savithrishashi@yahoo.co.in E-mail address: somashekhar96@gmail.com

KEYWORDS:

Semi-Symmetric Connection

Issue Date:

August 2015

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.27 – No.2

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DOI:

jusps-A

ABSTRACT:

In this paper, we study  ~ curvature tensor in generalised Sasakian space forms with respect to semi-symmetric metric connection  . f , f , f M ~ 3 2 1 We obtain scalar curvature of  ~ -Ricci semi-symmetric . f , f , f M ~
3 2 1 Further we prove that φ-  ~ flat   f , f , f M ~ 1 2 3 and – semi-symmetric   f , f , f M ~ 1 2 3 are η -Einstein

Copy the following to cite this Article:

SAVITHRI SHASHIDHAR and SOMASHEKHARA.G, “Generalized Sasakian Space form Admitting Semi-Symmetric Connection”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 2, Page Number , 2016


Copy the following to cite this URL:

SAVITHRI SHASHIDHAR and SOMASHEKHARA.G, “Generalized Sasakian Space form Admitting Semi-Symmetric Connection”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 2, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/336/


In this paper, we study  ~ curvature tensor in generalised Sasakian space forms with respect to semi-symmetric metric connection  . f , f , f M ~ 3 2 1 We obtain scalar curvature of  ~ -Ricci semi-symmetric . f , f , f M ~
3 2 1 Further we prove that φ-  ~ flat   f , f , f M ~ 1 2 3 and – semi-symmetric   f , f , f M ~ 1 2 3 are η -Einstein