In this paper, semi-invariant submanifolds of a generalized Kenmotsu manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be semi-invarinat submanifold with semi-symmetric non-metric connection. Morever, we studied the integrability condition of the distribution on semi-invariant submanifolds of generalized Kenmotsu manifold with semi-symmetric non-metric connection.
Published in |
Pure and Applied Mathematics Journal (Volume 4, Issue 1-2)
This article belongs to the Special Issue Applications of Geometry |
DOI | 10.11648/j.pamj.s.2015040102.14 |
Page(s) | 14-18 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Generalized Kenmotsu Manifolds, Semi-Invariant Submanifolds, Semi-Symmetric Non-Metric Connection
[1] | D.E. Blair , Geometry of manifolds with structural group U(n) x O(s), J. Differ. Geom. 4, 155-167 (1970). |
[2] | K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. J. 24 (1972) 93-103. |
[3] | M. Kobayashi, Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor N. S. 43 (1986) 28-36. |
[4] | S. Goldberg and K. Yano, Globally framed f-Manifolds, Illinois J. Math.15, 456-474 (1971). |
[5] | S. A. Nirmala and R.C. Mangala, a semi-symmetric non-metric connection on Riemannian manifold, Indiana J. Pure Appl. Math. 23 399-409 (1992). |
[6] | B. Prasad, Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malaysian Math. Soc. 21 (1998) 21-26. |
[7] | B. B. Sinha and A. K. Srivastava, Semi-invariant submanifolds of a Kenmotsu manifold with constant φ-holomorphic sectional curvature, Indian J. pure appl. Math. 23(11):783-789 (1992). |
[8] | M. M. Tripathi, A new connection in a Riemannian manifold, Int. Ele.Journal of Geometry Vol.1 No.1 15-24 (2008). |
[9] | A Turgut Vanli and R. Sari , Generalized Kenmotsu manifolds, Arxiv 1406.1032v1. |
[10] | J. Vanzura, Almost r-contact structures, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. 26 (1972), 97–115. |
[11] | K. Yano, On a structure defined by a tensor field f of type (1, 1) satisfying f 3+f=0, Tensor NS., 14, 99-109 (1963) . |
APA Style
Aysel Turgut Vanli, Ramazan Sari. (2015). On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection. Pure and Applied Mathematics Journal, 4(1-2), 14-18. https://doi.org/10.11648/j.pamj.s.2015040102.14
ACS Style
Aysel Turgut Vanli; Ramazan Sari. On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection. Pure Appl. Math. J. 2015, 4(1-2), 14-18. doi: 10.11648/j.pamj.s.2015040102.14
AMA Style
Aysel Turgut Vanli, Ramazan Sari. On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection. Pure Appl Math J. 2015;4(1-2):14-18. doi: 10.11648/j.pamj.s.2015040102.14
@article{10.11648/j.pamj.s.2015040102.14, author = {Aysel Turgut Vanli and Ramazan Sari}, title = {On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection}, journal = {Pure and Applied Mathematics Journal}, volume = {4}, number = {1-2}, pages = {14-18}, doi = {10.11648/j.pamj.s.2015040102.14}, url = {https://doi.org/10.11648/j.pamj.s.2015040102.14}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040102.14}, abstract = {In this paper, semi-invariant submanifolds of a generalized Kenmotsu manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be semi-invarinat submanifold with semi-symmetric non-metric connection. Morever, we studied the integrability condition of the distribution on semi-invariant submanifolds of generalized Kenmotsu manifold with semi-symmetric non-metric connection.}, year = {2015} }
TY - JOUR T1 - On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection AU - Aysel Turgut Vanli AU - Ramazan Sari Y1 - 2015/01/12 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2015040102.14 DO - 10.11648/j.pamj.s.2015040102.14 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 14 EP - 18 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2015040102.14 AB - In this paper, semi-invariant submanifolds of a generalized Kenmotsu manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be semi-invarinat submanifold with semi-symmetric non-metric connection. Morever, we studied the integrability condition of the distribution on semi-invariant submanifolds of generalized Kenmotsu manifold with semi-symmetric non-metric connection. VL - 4 IS - 1-2 ER -