Homogeneous hypersurfaces and totally geodesic submanifolds
, 2022 This Ph.D. thesis deals with the study of certain classes of submanifolds in the presence of symmetry. Namely, results have been derived regarding the theory of submanifolds in Riemannian homogeneous spaces with a special emphasis on symmetric spaces.
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A Simple Approximation Method for the Fisher-Rao Distance between Multivariate Normal Distributions. [PDF]
Entropy (Basel), 2023 Nielsen F.
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Multisensor Estimation Fusion on Statistical Manifold. [PDF]
Entropy (Basel), 2022 Chen X, Zhou J.
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Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms. [PDF]
Entropy (Basel), 2021 Chen BY, Decu S, Vîlcu GE.
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Totally geodesic submanifolds of regular Sasakian manifolds
Osaka Journal of Mathematics, 2012 The main result of this paper finds a correspondence between certain types of totally geodesic submanifolds of a homogeneous Sasakian manifold (necessarily regular) and submanifolds of its Hermitian symmetric base space (via the Boothby-Wang fibration).
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Benjamini-Schramm convergence of periodic orbits. [PDF]
Geom Dedic, 2022 Mohammadi A, Rafi K.
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Symplectomorphic codimension 1 totally geodesic submanifolds
Differential Geometry and its Applications, 1995 We show that the coisotropic totally geodesic properly embedded submanifolds of codimension 1 of a simply connected complete Kähler manifold of non-positive sectional curvature are symplectically linearizable. First we show that such a submanifold is foliated by totally geodesic complex leaves transversal to an isometric flow, hence, by a result of E ...
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Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]
Entropy (Basel), 2022 Decu S, Vîlcu GE.
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A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement. [PDF]
Vision (Basel), 2021 Neilson PD, Neilson MD, Bye RT.
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Pullback Bundles and the Geometry of Learning. [PDF]
Entropy (Basel), 2023 Puechmorel S.
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