Results 21 to 30 of about 2,645,036 (193)
Reducibility of complex submanifolds of the complex euclidean spaces [PDF]
, 2000 Let M be a simply connected complex submanifold of CN. We prove that M is irreducible, up a totally geodesic factor,if and only if the normal holonomy group acts irreducibly.
Di Scala, Antonio Jose'
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On the notion of noncommutative submanifold [PDF]
, 2020 We review the notion of submanifold algebra, as introduced by T. Masson, and discuss some properties and examples. A submanifold algebra of an associative algebra A is a quotient algebra B such that all derivations of B can be lifted to A.
D'Andrea, Francesco, D'andrea F.
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Isometric Signal Processing under Information Geometric Framework
Entropy, 2019 Information geometry is the study of the intrinsic geometric properties of manifolds consisting of a probability distribution and provides a deeper understanding of statistical inference.
Hao Wu, Yongqiang Cheng, Hongqiang Wang
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On totally real statistical submanifolds
Filomat, 2018 In the present paper, first we prove some results by using fundamental properties of totally real statistical submanifolds immersed into holomorphic statistical manifolds. Further, we obtain the generalizedWintgen inequality for Lagrangian statistical submanifolds of holomorphic statistical manifolds with constant holomorphic sectional ...
Siddiqui, Aliya Naaz +1 more
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Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds [PDF]
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 manifolds containing the normalized scalar curvature and the generalized normalized Casorati ...
Aliya Naaz Siddiqui +2 more
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PSEUDO-SLANT SUBMANIFOLD IN KENMOTSU SPACE FORMS [PDF]
, 2016 In this paper, we study geometry of the pseudo-slant submanifold of a Kenmotsu space form. Necessary and suffcient conditions are given for a submanifold to be a pseudo-slant submanifold in Kenmotsu manifolds.
Atceken, Mehmet +2 more
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On submanifolds of Sasakian statistical manifolds
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, invariant and anti-invariant submanifolds of Sasakian statistical manifolds are studied. Necessary and sufficient conditions are given for vanishing the dual connection in the normal bundle. Moreover, existence of a Kaehlerian structure on invariant hypersurfaces of Sasakian statistical manifolds are proved.
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Optimal Transport for Gaussian Mixture Models
IEEE Access, 2019 We introduce an optimal mass transport framework on the space of Gaussian mixture models. These models are widely used in statistical inference. Specifically, we treat the Gaussian mixture models as a submanifold of probability densities equipped with ...
Yongxin Chen +2 more
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An integrable nineteen vertex model lying on a hypersurface
Nuclear Physics B, 2015 We have found a family of solvable nineteen vertex model with statistical configurations invariant by the time reversal symmetry within a systematic study of the respective Yang–Baxter relation.
M.J. Martins
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Kyushu Journal of Mathematics, 2019 Summary: The non-existence of CR submanifolds of maximal CR dimension with umbilical shape operator in holomorphic statistical manifolds is proven. Our results are a generalization of the known results in the theory of CR submanifolds in complex space forms.
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