Results 11 to 20 of about 2,645,036 (193)

Statistical Submanifolds Equipped with $\mathcal{F}$-Statistical Connections

Mathematics
This paper deals with statistical submanifolds and a family of statistical connections on them. The geometric structures such as the second fundamental form, curvatures tensor, mean curvature, statistical Ricci curvature and the relations among them on a
Esmaeil Peyghan, Leila Nourmohammadifar, Ion Mihai   +2 more
doaj   +2 more sources

Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature

Entropy, 2018
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu, Stefan Haesen, Leopold Verstraelen, Gabriel-Eduard Vîlcu   +3 more
doaj   +2 more sources

On CR-statistical submanifolds of holomorphic statistical manifolds

Filomat, 2021
In the present paper, weinvestigate some properties of the distributions involved in the definition of a CR-statistical submanifold. The characterization of a CR-product in holomorphic statistical manifolds is given. By using an optimization technique, we establish a relationship between the Ricci curvature and the squared norm of the mean ...
Siddiqui, Aliya Naaz, Al-Solamy, Falleh R., Shahid, Mohammad Hasan, Mihai, Ion   +3 more
openaire   +3 more sources

Chen Inequalities for Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms

Mathematics, 2022
In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely involving the Chen first invariant and the mean curvature of totally real and holomorphic spacelike submanifolds in statistical manifolds of type para ...
Simona Decu, Stefan Haesen
doaj   +1 more source

SOME PINCHING RESULTS FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS

Matematički Vesnik, 2023
In this article, we discuss the curvature properties of statistical submanifolds in cosymplectic statistical manifolds with constant curvature. We also establish some pinching results for such submanifolds and hypersurfaces in cosymplectic statistical manifolds having constant curvature.
Aquib, Mohd, Aslam, Mohd, Boyom, Michel Nguiffo   +2 more
openaire   +2 more sources

LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD [PDF]

, 2023
In this paper, we introduce an indefinite LP-Sasakian statistical manifold and study lightlike submanifold of an indefinite LP-Sasakian statistical manifold.
Ahmad, Mobin, Alam, Mahtab
core   +1 more source

A Berger type normal holonomy theorem for complex submanifolds [PDF]

, 2010
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala, Console, S., Olmos, C., Di Scala, Antonio Jose', Sergio Console, Carlos Olmos   +5 more
core   +1 more source

Submanifolds with curvature normals of constant length and the Gauss map [PDF]

, 2004
We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala, C. Olmos, Di Scala, Antonio Jose', Carlos Olmos   +3 more
core   +1 more source

Approximate Information Tests on Statistical Submanifolds

J. Mach. Learn. Res., 2019
26 ...
Michael W. Trosset, Carey E. Priebe
openaire   +4 more sources

Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds [PDF]

Mathematics, 2019
We consider Kähler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant δ ( 2 , 2 ) .
Hülya Aytimur, Mayuko Kon, Adela Mihai, Cihan Özgür, Kazuhiko Takano   +4 more
openaire   +3 more sources