LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "submanifolds kenmotsu" as a keyword



Photo by joelfilip from unsplash

Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms

Sign Up to like & get
recommendations! Published in 2017 at "Advances in Geometry"

DOI: 10.1515/advgeom-2017-0008

Abstract: Abstract In this paper, we establish two sharp inequalities for the normalized δ-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient space.Moreover, we show that in… read more here.

Keywords: space; submanifolds kenmotsu; casorati curvatures; inequalities normalized ... See more keywords

On the normal scalar curvature conjecture for legendrian submanifolds in Kenmotsu space forms

Sign Up to like & get
recommendations! Published in 2020 at "Filomat"

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
Photo by britishlibrary from unsplash

Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection

Sign Up to like & get
recommendations! Published in 2022 at "Entropy"

DOI: 10.3390/e24060800

Abstract: In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional curvature that are… read more here.

Keywords: kenmotsu statistical; statistical submanifolds; submanifolds kenmotsu; statistical manifolds ... See more keywords
Photo by joelfilip from unsplash

Generalized Wintgen inequality for submanifolds in Kenmotsu space forms

Sign Up to like & get
recommendations! 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