Results 21 to 30 of about 53,985 (263)
Immersions into Statistical Manifolds
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2021 This paper studies the geometry of immersions into statistical manifolds. A necessary and sufficient condition is obtained for statistical manifold structures to be dual to each other for a non-degenerate equiaffine immersion. Then we obtain conditions for realizing an n-dimensional statistical manifold in an (n+1)-dimensional statistical manifold and ...
T. V. Mahaesh +1 more
openaire +3 more sources
International Electronic Journal of Geometry, 2021 In this paper, we study the statistical immersion of codimension one from a Sasakian statistical manifold of constant φ− curvature to a holomorphic statistical manifold of constant holomorphic curvature and its converse. We prove that in both cases the constant φ− curvature equals to one and the constant holomorphic curvature must be zero. Moreover, we
Feng Wu, Yan Jıang, Liang Zhang
openaire +4 more sources
Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds
Journal of New Theory, 2023 Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new ...
Ömer Aksu, Mehmet Gülbahar
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 +3 more
doaj +1 more source
A Deformed Exponential Statistical Manifold [PDF]
Entropy, 2019 Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ -connection by an open arc, where φ is a deformed exponential function which assumes zero until a certain point and from then on is ...
Francisca Leidmar Josué Vieira +3 more
openaire +3 more sources
Extremities for statistical submanifolds in Кenmotsu statistical manifolds
Filomat, 2021 Kenmotsu geometry is a valuable part of contact geometry with nice applications in other fields such as theoretical physics. In this article, we study the statistical counterpart of a Kenmotsu manifold, that is, Kenmotsu statistical manifold with some related examples.
Siddiqui, Aliya Naaz +2 more
openaire +3 more sources
Almost cosympletic statistical manifolds
Quaestiones Mathematicae, 2019 15 pages and comments are welcome!
MURATHAN, CENGİZHAN +2 more
openaire +7 more sources
Robustness of statistical manifolds
Topology and its Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loi, A., Matta, S.
openaire +2 more sources
Affine Differential Geometric Control Tools for Statistical Manifolds
Mathematics, 2021 The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established.
Iulia-Elena Hirica +3 more
doaj +1 more source
Oseledets' Splitting of Standard-like Maps [PDF]
, 2015 For the class of differentiable maps of the plane and, in particular, for standard-like maps (McMillan form), a simple relation is shown between the directions of the local invariant manifolds of a generic point and its contribution to the finite-time ...
Chernov N. +8 more
core +3 more sources