Results 11 to 20 of about 23,555 (114)
Some Optimal Bounds for δ-Casorati Curvatures with Slant Factor in Trans-Sasakian Manifolds
MathematicsIn this article, we derive some optimal inequalities for slant submanifolds on trans-Sasakian manifolds coupled with quarter-symmetric non-metric connection (qsnmc), utilizing generalized normalized δ-Casorati curvatures.
Rawan Bossly
doaj +3 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 +3 more sources
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 +2 more sources
Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures
Mediterranean Journal of Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MURATHAN, CENGİZHAN +2 more
core +6 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 +2 more
doaj +2 more sources
On the Extrinsic Principal Directions and Curvatures of Lagrangian Submanifolds [PDF]
Mathematics, 2020 From the basic geometry of submanifolds will be recalled what are the extrinsic principal tangential directions, (first studied by Camille Jordan in the 18seventies), and what are the principal first normal directions, (first studied by Kostadin ...
Marilena Moruz, Leopold Verstraelen
doaj +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 +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 +2 more sources
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
Lower Bounds on Statistical Submersions with vertical Casorati curvatures
International Journal of Geometric Methods in Modern Physics, 2021 In this paper, we obtain lower bounds for the normalized scalar curvature on statistical submersion with the normalized [Formula: see text]-vertical Casorati curvatures. Also, we discuss the conditions for which the equality cases hold. Beside this, we determine the statistical solitons on statistical submersion from statistical manifolds and ...
Aliya Naaz Siddiqui +3 more
openaire +2 more sources