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The object of the present paper is to study certain geometrical properties of the submanifolds of generalized Sasakian space-forms. We deduce some results related to the invariant and anti-invariant slant submanifolds of the generalized Sasakian spaceforms. Finally, we study the properties of the sectional curvature, totally geodesic and umbilical submanifolds of the generalized Sasakian space-forms. To prove the existence of almost semiinvariant and anti-invariant submanifolds, we provide the non-trivial examples.
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참고문헌 (34)
참고문헌 신청
P. Alegre / 2004 / Generalized Sasakian-space-forms / Israel. J. Math 14:157~183
P. Alegre / 2008 / Structure on Generalized Sasakian-space-forms / Diff. Geo. and its Application 26:656~666
P. Alegre / 2009 / Submanifolds of Generalized Sasakian-space-forms / Taiwanese J. Maths 13:923~941
P. Alegre / 2011 / Generalized Sasakian-space-forms and conformal change of metric / Results in Maths 24:485~493
R. Al-Ghefari / 2006 / CR-submanifolds of generalized Sasakian-space-forms / JPJ. Geom. and Topology 6:151~166
P. Alegre / 2008 / Structure on Generalized Sasakian-space-forms / Diff. Geo. and its Application 26:656~666
P. Alegre / 2009 / Submanifolds of Generalized Sasakian-space-forms / Taiwanese J. Maths 13:923~941
P. Alegre / 2011 / Generalized Sasakian-space-forms and conformal change of metric / Results in Maths 24:485~493
R. Al-Ghefari / 2006 / CR-submanifolds of generalized Sasakian-space-forms / JPJ. Geom. and Topology 6:151~166
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