Extremities for statistical submanifolds in Кenmotsu statistical manifolds
نویسندگان
چکیده
Kenmotsu geometry is a valuable part of contact with nice applications in other fields such as theoretical physics. In this article, we study the statistical counterpart manifold, that is, manifold some related examples. We investigate curvature properties manifolds. It has been shown not Ricci-flat by constructing counter-example. Finally, prove very well-known Chen-Ricci inequality for submanifolds manifolds constant ?-sectional adopting optimization techniques on submanifolds. This article ends concluding remarks.
منابع مشابه
Statistical cosymplectic manifolds and their submanifolds
In this paper, we introduce statistical cosymplectic manifolds and investigate some properties of their tensors. We define invariant and anti-invariant submanifolds and study invariant submanifolds with normal and tangent structure vector fields. We prove that an invariant submanifold of a statistical cosymplectic manifold with tangent structure vector field is a cosymplectic and minimal...
متن کاملClassification of Totally Umbilical CR-Statistical Submanifolds in Holomorphic Statistical Manifolds with Constant Holomorphic Curvature
In 1985, Amari [1] introduced an interesting manifold, i.e., statistical manifold in the context of information geometry. The geometry of such manifolds includes the notion of dual connections, called conjugate connections in affine geometry, it is closely related to affine geometry. A statistical structure is a generalization of a Hessian one, it connects Hessian geometry. In the present paper...
متن کاملRicci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds
We obtain the expression of Ricci tensor for a $GCR$-lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $GCR$-lightlike submanifold of anindefinite complex space form. Moreover, we have proved that everyproper totally umbilical $GCR$-lightlike submanifold of anindefinite Kaehler manifold is a totally geodesic $GCR$-lightlikesubmanifold.
متن کاملStatistical Computing on Manifolds for Computational Anatomy
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کاملStatistical Mechanics of Charged Manifolds
PACS. 64.603-Equilibrium properties near critical points, critical'exponents. Abstract.-We study the behavior of D-dimensional manifolds, embedded in d-dimensional space, in which the repulsive interaction between charges decays as llrd-". Tethered manifolds can be wrumpled., or <<flat.. In the crumpled regime the exponent v is calculated exactly, and y is obtained to O(E). In the flat regimes ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2102591s