Results 41 to 50 of about 194 (131)

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

Axioms
In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
doaj   +2 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.
Chul Woo Lee, Jae Won Lee, Gabriel-Eduard Vilcu   +2 more
exaly   +4 more sources

Some Optimal Bounds for δ-Casorati Curvatures with Slant Factor in Trans-Sasakian Manifolds

Mathematics
In 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   +2 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

Optimization on Submanifolds of $\delta$-Lorentzian trans-Sasakian Manifolds with Casorati Curvatures

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, Danish Siddiqi, Mohd., Shahid, Mohammad Hasan   +2 more
openaire   +2 more sources

Recent developments in δ-Casorati curvature invariants

TURKISH JOURNAL OF MATHEMATICS, 2021
One of the basic problems in submanifold theory is to find simple relationships between the main extrinsic and intrinsic invariants of a submanifold. In order to obtain viable solutions to this problem, the author introduced in the early 1990's new types of Riemannian invariants, known as \(\delta\)-invariants or Chen invariants.
openaire   +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

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

پژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj  

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, Meraj Ali Khan, Adela Mihai, Ion Mihai   +3 more
doaj   +1 more source

Basic inequalities for statistical submanifolds in Golden-like statistical manifolds

Open Mathematics, 2022
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem, Bahadir Oğuzhan, Park Choonkil, Hwang Inho   +3 more
doaj   +1 more source