On the generalized Wintgen inequality for Legendrian submanifolds in Sasakian space forms
Copyright policy )On the generalized Wintgen inequality for Legendrian submanifolds in Sasakian space forms
The generalized Wintgen inequality was conjectured by De Smet, Dillen, Verstraelen and Vrancken in 1999 for submanifolds in real space forms. It is also known as the DDVV conjecture. It was proven recently by Lu (2011) and by Ge and Tang (2008), independently. The present author established a generalized Wintgen inequality for Lagrangian submanifolds in complex space forms in 2014. In the present paper we obtain the DDVV inequality, also known as generalized Wintgen inequality, for Legendrian submanifolds in Sasakian space forms. Some geometric applications are derived. Also we state such an inequality for contact slant submanifolds in Sasakian space forms.
- University of Bucharest Romania
contact slant submanifold, Legendrian submanifold, DDVV conjecture, Sasakian space form, invariant submanifold, 53C40, Wintgen inequality, 53D10, 53C25
contact slant submanifold, Legendrian submanifold, DDVV conjecture, Sasakian space form, invariant submanifold, 53C40, Wintgen inequality, 53D10, 53C25
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).25 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!