Warped product submanifolds of Kaehler manifolds with a slant factor

• Autorzy: Bayram Sahin
• Języki publikacji: EN

Abstrakty

EN

Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular class of bi-slant submanifolds. In this paper, we study such submanifolds in detail and show that they are useful to define a new kind of warped product submanifolds of Kaehler manifolds. In this direction, we obtain the existence of warped product hemi-slant (anti-slant) submanifolds with examples. We give a characterization theorem and establish an inequality for the squared norm of the second fundamental form in terms of the warping function for such submanifolds. The equality case is also considered.

Kategorie tematyczne

• 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 95
• Numer: 3
• Strony: 207-226

Daty

wydano

2009

Twórcy

autor

Bayram Sahin

• Department of Mathematics, Inonu University, 44280, Malatya, Turkey

Identyfikatory

DOI

10.4064/ap95-3-2