Results 41 to 50 of about 1,369,661 (263)
Harmonic Riemannian submersions from 3-dimensional geometries [PDF]
arXiv, 2023 In this paper, we study harmonic Riemannian submersions from 3-dimensional geometries using the ( generalized) integrability data associated to an orthonormal frame natural to a Riemannian submersion. We give complete classifications of harmonic Riemannian submersions from Thurston's 3-dimensional geometries, 3-dimensional BCV spaces and Berger sphere ...
arxiv
Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds
Entropy, 2016 We present evolution equations for a family of paths that results from anisotropically weighting curve energies in non-linear statistics of manifold valued data. This situation arises when performing inference on data that have non-trivial covariance and
Stefan Sommer
doaj +1 more source
An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not.
Gauree Shanker, Ankit Yadav
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Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
Journal of Function Spaces and Applications, 2013 We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
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On concurrent vector fields on Riemannian manifolds
AIMS Mathematics, 2023 It is shown that the presence of a non-zero concurrent vector field on a Riemannian manifold poses an obstruction to its topology as well as certain aspects of its geometry.
Amira Ishan
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Warped Poisson Brackets on Warped Products [PDF]
, 2015 In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure.
Amrane, Yacine Aït +2 more
core +1 more source
Geometry of Manifolds and Applications
MathematicsThis editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
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Riemannian geometry of Hartogs domains [PDF]
, 2008 Let $D_F = \{(z_0, z) \in {\C}^{n} | |z_0|^2 < b, \|z\|^2 < F(|z_0|^2) \}$ be a strongly pseudoconvex Hartogs domain endowed with the \K metric $g_F$ associated to the \K form $\omega_F = -\frac{i}{2} \partial \bar{\partial} \log (F(|z_0|^2) - \|z\|^2)$.
ANDREA LOI +3 more
core +2 more sources
Riemannian geometry for EEG-based brain-computer interfaces; a primer and a review
, 2017 Despite its short history, the use of Riemannian geometry in brain-computer interface (BCI) decoding is currently attracting increasing attention, due to accumulating documentation of its simplicity, accuracy, robustness and transfer learning ...
M. Congedo, A. Barachant, R. Bhatia
semanticscholar +1 more source
Optimal control in nonequilibrium systems: Dynamic Riemannian geometry of the Ising model. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2015 A general understanding of optimal control in nonequilibrium systems would illuminate the operational principles of biological and artificial nanoscale machines.
Grant M. Rotskoff, G. Crooks
semanticscholar +1 more source