Results 21 to 30 of about 200,234 (137)

Local Solid Shape [PDF]

i-Perception, 2015
Local solid shape applies to the surface curvature of small surface patches—essentially regions of approximately constant curvatures—of volumetric objects that are smooth volumetric regions in Euclidean 3-space.
Jan Koenderink, Andrea van Doorn, Johan Wagemans   +2 more
doaj   +2 more sources

Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Mathematics, 2022
The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui, Ali Hussain Alkhaldi, Lamia Saeed Alqahtani   +2 more
doaj   +2 more sources

A lower bound of normalized scalar curvature for the submanifolds of locally conformal Kaehler space form using Casorati curvatures

Filomat, 2017
In the present paper, we prove the inequality between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for the submanifolds of locally conformal Kaehler space form and also consider the equality case of the inequality.
Mehraj Lone
openaire   +3 more sources

Pinching Results for Submanifolds in Lorentzian–Sasakian Manifolds Endowed with a Semi-Symmetric Non-Metric Connection

Mathematics
We establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed, Ion Mihai, Andreea Olteanu   +2 more
doaj   +2 more sources

Optimal Casorati Inequalities for Pointwise SlantRiemannian Maps

Mathematics
We establish optimal Casorati inequalities for pointwise slant Riemannian maps from Riemannian manifolds into generalized complex space forms and generalized Sasakian space forms.
Tanveer Fatima, Ibrahim Al-Dayel
doaj   +2 more sources

Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds

Mathematics, 2019
Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui, Bang-Yen Chen, Oguzhan Bahadir   +2 more
doaj   +2 more sources

Bounds for generalized normalized δ-Casorati curvatures for Bi-slant submanifolds in T-space forms

Filomat, 2018
In this paper, we prove the inequality between the generalized normalized ?-Casorati curvatures and the normalized scalar curvature for the bi-slant submanifolds in T-space forms and consider the equality case of the inequality. We also develop same results for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, slant ...
Mohd. Aquib
openaire   +3 more sources

Optimal Inequalities for the Casorati Curvatures of Submanifolds of Generalized Space Forms Endowed With Semi-Symmetric Metric Connections

Bulletin of the Korean Mathematical Society, 2015
Summary: In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a semi-symmetric metric connection. Moreover, we also characterize those submanifolds for which the equality cases hold.
Gabriel-Eduard Vilcu, Jae Won Lee, Dae Won Yoon   +2 more
exaly   +4 more sources

Optimizations on Statistical Hypersurfaces with Casorati Curvatures [PDF]

Kragujevac Journal of Mathematics, 2021
In the present paper, we study Casorati curvatures for statistical hypersurfaces. We show that the normalized scalar curvature for any real hypersurface (i.e., statistical hypersurface) of a holomorphic statistical manifold of constant holomorphic sectional curvature k is bounded above by the generalized normalized δ−Casorati curvatures and also ...
Siddiqui, Aliya Naaz, Shahid, Mohammad Hasan   +1 more
openaire   +2 more sources

Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds

Mathematics, 2022
In this article, we obtain certain bounds for statistical curvatures of submanifolds with any codimension of Kenmotsu-like statistical manifolds. In this context, we construct a class of optimum inequalities for submanifolds in Kenmotsu-like statistical ...
Aliya Naaz Siddiqui, Mohd Danish Siddiqi, Ali Hussain Alkhaldi   +2 more
doaj   +1 more source