Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 29, pp. 75-81 (2013)

On totally umbilical hypersurfaces of weakly projective symmetric spaces

Shyamal Kumar Hui and Füsun Özen Zengin

Nikhil Banga Sikshan Mahavidyalaya and Istanbul Technical University

Abstract: The object of the present paper is to study the totally umbilical hypersurfaces of weakly projective symmetric spaces and it is shown that the totally umbilical hypersurfaces of weakly projective symmetric space is also a weakly projective symmetric space.

Keywords: weakly projective symmetric space, projective curvature tensor, pseudo projective symmetric space, totally umbilical hypersurfaces, totally geodesic, mean curvature

Classification (MSC2000): 53B05; 53B15

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