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http://dx.doi.org/10.4134/JKMS.2007.44.3.647

NEW RELATIONSHIPS INVOLVING THE MEAN CURVATURE OF SLANT SUBMANIFOLDS IN S-SPACE-FORMS  

Fernandez, Luis M. (DEPARTMENT OF GEOMETRY AND TOPOLOGY FACULTY OF MATHEMATICS UNIVERSITY OF SEVILLA)
Hans-Uber, Maria Belen (DEPARTMENT OF GEOMETRY AND TOPOLOGY FACULTY OF MATHEMATICS UNIVERSITY OF SEVILLA)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 647-659 More about this Journal
Abstract
Relationships between the Ricci curvature and the squared mean curvature and between the shape operator associated with the mean curvature vector and the sectional curvature function for slant submanifolds of an S-space-form are proved, particularizing them to invariant and anti-invariant submanifolds tangent to the structure vector fields.
Keywords
S-space-form; slant immersion; mean curvature vector; Ricci curvature; shape operator;
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