A.M. FUENTES, L.M. FERNÁNDEZ

6586

Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms

We establish some inequalities of Chen’s type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields of a generalized $S$-space-form and we discuss the equality cases of them. We apply the obtained results to slant submanifolds.
Keywords:

Generalized S-space-form intrinsic invariant, slant submanifold,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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