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

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 submanifol...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 44; no. 3; pp. 647 - 659
Main Authors Fernandez, Luis M, Hans-Uber, Maria Belen
Format Journal Article
LanguageKorean
Published 대한수학회 01.05.2007
Subjects
수학
mean curvature vector
Ricci curvature
shape operator
slant immersion
S-space-form
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO200721138097825
http://www.mathnet.or.kr/mathnet/thesis_file/10_J05-074.pdf
G704-000208.2007.44.3.014
ISSN:0304-9914
2234-3008