Open Access
Original Articles
On Invariant Submanifolds in Generalized Sasakian Space Forms
S.S. Shuklassshukla_au@rediffmail.comDepartment of MathematicsUniversity of AllahabadAllahabad, Uttar Pradesh, 211002, IndiaView full profile → , Pavan Kumar Chaubeypavan197@yahoo.co.inDepartment of MathematicsUniversity of AllahabadAllahabad, Uttar Pradesh, 211002, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2010.10698583
- Pages:
- 173–188
Abstract
In this article, we establish some inequalities for invariant submanifolds involving totally real sectional curvature and the scalar curvature. The equality cases are also discussed.
Keywords
References
- Alegre, P., Blair, D.E. and Carriazo, A.2004 . Generalized Sasakian space forms . , 141 : 157 – 183 .
- Alegre, P. and Carriazo, A.2008 . Structures on generalized Sasakian space forms . , 26 ( 6 ) : 656 – 666 .
- Blair, D.E.1976 . , Lecture notes in Mathematics Vol. 509 , Berlin: Springer Verlag .
- Cabrerizo, J.L., Carriazo, A., Fernandez, L.M. and Fernandez, M.1999 . Semi-slant submanifolds of a Sasakian manifold . , 78 : 183 – 199 .
- Chen, B.Y.2001 . A series of Kaehlerian invariants and their applications to Kaehlerian Geometry . , 42 ( 1 ) : 165 – 178 .
- Chen, B.Y.2000 . On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms . , 74 : 154 – 160 .
- Chen, B.Y.1993 . Some pinching and classification theorems for minimal submanifolds . , 60 : 568 – 578 .
- Chen, B.Y.2000 . Some new obstructions to minimal and Lagrangian isometric immersions . , 26 : 1 – 17 .
- Ghefari, R. Al., Al-Solamy, F.R. and Shahid, M.H.2006 . Contact CR-warped product submanifolds in generalized Sasakian space forms . , 11 ( 1 ) : 1 – 10 .
- Hong, S. and Tripathi, M.M.2005 . On Ricci curvature of submanifolds of generalized Sasakian space forms . , 2 ( 2 ) : 173 – 201 .
- Li, X., Huang, G. and Xu, J.2005 . Some inequalities for submanifolds in locally conformal almost cosymplectic manifolds . , 31 ( 3 ) : 309 – 319 .
- Mihai, I. and Ghisoeiu, V.2004 . Minimality of certain contact slant submanifolds in Sasakian space forms . , 1 : 95 – 99 .
- Oubina, J.A.1985 . New Classes of almost contact metric structure . , 32 ( 3-4 ) : 187 – 193 .
- Yano, K. and Kon, M.1984 . , Series in Pure Mathematics Singapore: World Scientific Publishing Co .
Views: 51Downloads: 69Citations: 0
