Results 61 to 70 of about 94,728 (213)
Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces
, 2012 We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy is of dimension at least 14. Due to an example constructed in a previous article by Oliver Baues and the author, this is a sharp bound.
Baues +8 more
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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
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A Lichnerowicz estimate for the spectral gap of the sub-Laplacian
, 2018 For a second order operator on a compact manifold satisfying the strong H\"ormander condition, we give a bound for the spectral gap analogous to the Lichnerowicz estimate for the Laplacian of a Riemannian manifold.
Berge, Stine Marie, Grong, Erlend
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Journal of Inequalities and Applications, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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A Geometry Preserving Kernel over Riemannian Manifolds [PDF]
Journal of Artificial Intelligence and Data Mining, 2018 - Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds ...
Kh. Sadatnejad +2 more
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Riemannian symmetries in flag manifolds [PDF]
Archivum Mathematicum, 2012 Flag manifolds are in general not symmetric spaces. But they are provided with a structure of $\mathbb{Z}_2^k$-symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. We detail for the flag manifold $SO(5)/SO(2)\times SO(2) \times SO(1)$ what are the conditions for a metric adapted to the ...
PIU, MARIA PAOLA, REMM ELISABETH
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Canonical connection on a class of Riemannian almost product manifolds
, 2012 The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non ...
A. Gray +11 more
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The Riemannian L^2 topology on the manifold of Riemannian metrics
, 2010 We study the manifold of all Riemannian metrics over a closed, finite-dimensional manifold. In particular, we investigate the topology on the manifold of metrics induced by the distance function of the L^2 Riemannian metric - so called because it induces
Clarke, Brian
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The equations of elastostatics in a Riemannian manifold
Journal de Mathématiques Pures et Appliquées, 2014 To begin with, we identify the equations of elastostatics in a Riemannian manifold, which generalize those of classical elasticity in the three-dimensional Euclidean space. Our approach relies on the principle of least energy, which asserts that the deformation of the elastic body arising in response to given loads minimizes over a specific set of ...
Grubic, Nastasia +2 more
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Metallic deformation on para-Sasaki-like para-Norden manifold
AIMS MathematicsThe main goal of this paper is to define the concept of metallic deformation through a relation between the metallic structure and paracontact structure on an almost paracontact para-Norden manifold.
Rabia Cakan Akpınar, Esen Kemer Kansu
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