Results 21 to 30 of about 277 (116)
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.
Lee, Chul Woo +3 more
openaire +5 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 +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 +1 more
openaire +2 more sources
On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection
Mathematics, 2021 This research deals with the generalized symmetric metric U-connection defined on golden Lorentzian manifolds. We also derive sharp geometric inequalities that involve generalized normalized δ-Casorati curvatures for submanifolds of golden Lorentzian ...
Majid Ali Choudhary +3 more
doaj +1 more source
Mathematics, 2022 In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
doaj +1 more source
Tamkang Journal of Mathematics, 2021 The present research article is concerned about a couple of optimal inequalities for submanifolds of $\delta$-Lorentzian trans-Sasakian manifolds endowed with semi-symmetric metric connection (briefly says $SSM$). Some examples of $\delta$-Lorentzian trans-Sasakiam manifolds are also discussed here. This paper ends with some open problems.
Siddiqui, Aliya Naaz +2 more
openaire +2 more sources
Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms
Mathematics, 2022 The objective of the present article is to prove two geometric inequalities for submanifolds in S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati curvatures for bi-slant submanifolds in S-space forms and then we ...
Mohd Aquib +3 more
doaj +1 more source
Physical geomorphometry for elementary land surface segmentation and digital geomorphological mapping [PDF]
, 2023 By interpretations related to energy, elementary land surface segmentation can be treated as a physical problem. Many pieces of such a view found in the literature can be combined into a synthetic comprehensive physical approach.
Drăguţ, Lucian +6 more
core +2 more sources
Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection
Axioms, 2023 In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized normalized δ-Casorati ...
Mohd Danish Siddiqi, Ali H. Hakami
doaj +1 more source
Spacelike convex surfaces with prescribed curvature in (2+1)-Minkowski space [PDF]
, 2016 We prove existence and uniqueness of solutions to the Minkowski problem in any domain of dependence $D$ in $(2+1)$-dimensional Minkowski space, provided $D$ is contained in the future cone over a point.
Bonsante, Francesco, Seppi, Andrea
core +2 more sources