Adela MIHAI

4321

Shape Operator AH for Slant Submanifolds in Generalized Complex Space Forms

In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator AH is proved.
Anahtar Kelimeler:

Shape operator, slant submanifolds, generalized complex space form, k-Ricci curvature

Shape Operator AH for Slant Submanifolds in Generalized Complex Space Forms

In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator AH is proved.
Keywords:

Shape operator, slant submanifolds, generalized complex space form, k-Ricci curvature,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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