Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design. [PDF]
Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit, 2022 Fan X, Yang CH, Vemuri BC.
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Nested Grassmannians for Dimensionality Reduction with Applications. [PDF]
J Mach Learn Biomed Imaging, 2022 Yang CH, Vemuri BC.
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?-flat manifolds and Riemannian submersions
Manuscripta Mathematica, 1989 In this paper, we show that a certain rigidity condition (∑-flatness) for open nonnegatively curved manifoldsM is preserved by Riemannian submersions. The result can be applied to quotients ofM by groups of isometries. ∑-flat metrics are also used to derive a splitting theorem for distance tubes of maximal volume growth.
Strake, M., Walschap, G.
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Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators. [PDF]
J Nonlinear Sci, 2022 Duruisseaux V, Leok M.
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Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing. [PDF]
Entropy (Basel), 2021 Luo Y, Zhang S, Cao Y, Sun H.
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Elastic Shape Analysis of Surfaces with Second-Order Sobolev Metrics: A Comprehensive Numerical Framework. [PDF]
Int J Comput Vis, 2023 Hartman E +4 more
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Para-contact product semi-Riemannian submersions
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017 We introduce the concept of para-contact product semi-Riemannian submersions from an almost para-contact metric manifold onto a semi-Riemannian product manifold. We provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost para-contact structure of the total manifold ...
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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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From the Jordan Product to Riemannian Geometries on Classical and Quantum States. [PDF]
Entropy (Basel), 2020 Ciaglia FM, Jost J, Schwachhöfer L.
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BV equivalence with boundary. [PDF]
Lett Math Phys, 2023 Simão FMC, Cattaneo AS, Schiavina M.
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