Browsing by Subject "totally geodesic"

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On anti-invariant maximal spacelike submanifolds of an indefinite complex space form

Wali, Augustus N. (SENRA Academic Publishers, 2011-02)

The purpose of this paper is to study the geometry of an n-dimensional anti-invariant maximal spacelike submanifold M immersed in a 2(n+p)-dimensional indefinite complex space form Mc c ( ), 0 ≠ of holomorphic sectional ...
On space-like submanifolds of a sphere

Wali, Augustus N. (2006)

Y. B. Shen [5] studied curvature pinching for 3-dimensional minimal submanifold in a sphere. In addition, Shen showed that if the scalar curvature of M3 is larger than 4, then M3 is totally geodesic. The purpose of this ...
On submanifolds of indefinite complex space form

Wali, Augustus N. (SENRA Academic Publishers, 2010-06)

Sun (1994) showed that if M is a maximal spacelike submanifold of ( ) n Mn c then either M is totally geodesic ( 2, 0) n c ≥ ≥ or 0 1 ,( 2, 0) ( ) 4 c ≤ ≤− − ≥ < S nn n c . The purpose of this paper is to study the ...

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