Vol. 65 Part 1 (1998)
A class of C-totally real
submanifolds
of Sasakian space forms
Filip Defever
Zuivere en Toegepaste Differentiaalmeetkunde
Departement Wiskunde
K. U. Leuven
Celestijnenlaan 200 B
B - 3001 Leuven
Belgium
and
Ion Mihai
Faculty of Mathematics
University of Bucharest
Str. Academiei 14
70109 Bucharest
Romania
and
Leopold Verstraelen
Departement Wiskunde
K. U. Leuven
Celestijnenlaan 200 B
B - 3001 Leuven
Belgium,
and
Group of Exact Sciences
K.U. Brussel
Vrijheidslaan 17
B - 1081 Brussel
Belgium
Abstract:
Recently, Chen defined an invariant 
of
a Riemannian manifold M. Sharp inequalities for this Riemannian
invariant were obtained for submanifolds in real, complex and Sasakian space
forms, in terms of their mean curvature.
In the present paper, we investigate certain C-totally real submanifolds
of a Sasakian space form
satisfying Chen's
equality.
of
a Riemannian manifold M. Sharp inequalities for this Riemannian
invariant were obtained for submanifolds in real, complex and Sasakian space
forms, in terms of their mean curvature.
In the present paper, we investigate certain C-totally real submanifolds
of a Sasakian space form
satisfying Chen's
equality.
PDF file size:
53K
© Copyright 1998, Australian Mathematical Society TeXAdel Scientific Publishing
1998-09-18