Local Orthonormal Basis of the Fibres of Quasi-Hemi-Slant Riemannian Submersion
Silas Longwap +3 more
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?-flat manifolds and Riemannian submersions
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]
Duruisseaux V, Leok M.
europepmc +1 more source
Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing. [PDF]
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]
Hartman E +4 more
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Para-contact product semi-Riemannian submersions
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]
Neilson PD, Neilson MD, Bye RT.
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Riemannian Submersions Need Not Preserve Positive Ricci Curvature [PDF]
Curtis Pro, Frederick Wilhelm
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Significance of Solitonic Fibers in Riemannian Submersions and Some Number Theoretic Applications [PDF]
Ali H. Hakami, Mohd Danish Siddiqi
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Examples and classification of Riemannian submersions satisfying a basic equality [PDF]
Bang‐Yen Chen
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