On a Semi-Symmetric Non-Metric Connection in an Indefinite Para Sasakian Manifold

被引：2

作者：

Pandey, S. K. ^{[1
]}

Pandey, G. ^{[1
]}

Tiwari, K. ^{[1
]}

Singh, R. N. ^{[1
]}

机构：

[1] APS Univ, Dept Math Sci, Rewa 486003, Madhya Pradesh, India

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2014年 / 12卷 / 02期

关键词：

Indefinite para Sasakian manifold; semi-symmetric non-metric connection; Nijenhuis tensor; projective curvature tensor;

D O I：

10.22436/jmcs.012.02.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of the present paper is to study a semi-symmetric non-metric connection in an indefinite para Sasakian manifold. In this paper, we obtain the relation between the semi-symmetric non-metric connection and Levi-Civita connection in an indefinite para Sasakian manifold. Also, the Nijenhuis tensor, curvature tensor and projective curvature tensor of semi-symmetric non-metric connection in an indefinite para Sasakian manifold have been studied.

引用

页码：159 / 172

页数：14

共 50 条

[41] On some properties of submanifolds of a Riemannian manifold endowed with a semi-symmetric non-metric connection
Dogru, Yusuf
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2011, 19 (03): : 85 - 100
[42] Semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection
Yucesan, Ahmet
Yasar, Erol
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (04): : 781 - 793
[43] Conformal η-Ricci solitons in Lorentzian para-Sasakian manifold admitting semi-symmetric metric connection
Somashekhara, G.
Babu, S. Girish
Reddy, P. Siva Kota
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (46): : 1008 - 1019
[44] Generalized Sasakian space forms with semi-symmetric non-metric connections
Sular, Sibel
Ozgur, Cihan
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2011, 60 (04) : 251 - 257
[45] LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD WITH A NON-METRIC theta-CONNECTION
Jin, Dae Ho
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2014, 21 (04): : 229 - 236
[46] On weakly symmetric manifolds with a type of semi-symmetric non-metric connection
Yilmaz, Hulya Bagdatli
ANNALES POLONICI MATHEMATICI, 2011, 102 (03) : 301 - 308
[47] A CLASSIFICATION OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
Jin, Dae Ho
Lee, Jae Won
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (03) : 705 - 717
[48] On a Type of Semi-Symmetric Non-Metric Connection on Riemannian Manifolds
Barman, Ajit
KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 731 - 739
[49] Pinching Results for Submanifolds in Lorentzian-Sasakian Manifolds Endowed with a Semi-Symmetric Non-Metric Connection
Mohammed, Mohammed
Mihai, Ion
Olteanu, Andreea
MATHEMATICS, 2024, 12 (23)
[50] A new semi-symmetric non-metric connection on warped products
Mohamed, El Moctar El Id
Diallo, Abdoul Salam
Ahmed, Lessiad Ahmed Sid
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2024, 15 (03) : 1 - 11

← 1 2 3 4 5 →