Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2016.12.001
Abstract: Abstract In this paper, some relations among the second fundamental form which is an extrinsic invariant, Laplacian of the warping function and constant sectional curvature of a warped product semi-slant submanifold of a Kenmotsu space… read more here.
Keywords: warped product; kenmotsu space; geometry; form ... See more keywords
On the normal scalar curvature conjecture for legendrian submanifolds in Kenmotsu space forms
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DOI: 10.2298/fil2012885n
Abstract: In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for Legendrian submanifolds in Kenmotsu space forms. Further, we derive an inequality for slant submanifolds in Kenmotsu space forms. read more here.
Keywords: legendrian submanifolds; submanifolds kenmotsu; space forms; conjecture ... See more keywords
Generalized Wintgen inequality for submanifolds in Kenmotsu space forms
Sign Up to like & getrecommendations! Published in 2018 at "Tamkang Journal of Mathematics"
DOI: 10.5556/j.tkjm.50.2019.2845
Abstract: In this paper, we obtain the generalized Wintgen inequality for Legendrian submanifolds in Kenmotsu space forms and discuss the equality case of the inequality. Further, we discuss the inequality for bi-slant submanifold in the same… read more here.
Keywords: generalized wintgen; space; wintgen inequality; kenmotsu space ... See more keywords