Results 11 to 20 of about 3,057 (193)
On conformal transformations of metrics of Riemannian paracomplex manifolds
Дифференциальная геометрия многообразий фигур, 2021 A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds.
S.E. Stepanov +2 more
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Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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Geodesic Vector Fields on a Riemannian Manifold
Mathematics, 2020 A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh +2 more
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Simplexes in Riemannian manifolds [PDF]
Proceedings of the American Mathematical Society, 1993 Existence of a simplex with prescribed edge lengths in Euclidean, spherical, and hyperbolic spaces was studied recently. A simple sufficient condition of this existence is, roughly speaking, that the lengths do not differ too much. We extend these results to Riemannian
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On the projections of Laplacians under Riemannian submersions
International Journal of Mathematics and Mathematical Sciences, 2001 We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
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Probability Distribution-Based Dimensionality Reduction on Riemannian Manifold of SPD Matrices
IEEE Access, 2020 Representing images and videos with Symmetric Positive Definite (SPD) matrices and utilizing the intrinsic Riemannian geometry of the resulting manifold has proved successful in many computer vision tasks.
Jieyi Ren, Xiao-Jun Wu
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THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
The Quarterly Journal of Mathematics, 1991 The space of all Riemannian metrics on a smooth second countable finite dimensional manifold is itself a smooth manifold modeled on the space of symmetric (0,2)-tensor fields with compact support. It carries a canonical Riemannian metric which is invariant under the action of the diffeomorphism group.
Gil-Medrano, Olga, Michor, Peter W.
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Characterizing Humans on Riemannian Manifolds
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013 In surveillance applications, head and body orientation of people is of primary importance for assessing many behavioral traits. Unfortunately, in this context people are often encoded by a few, noisy pixels so that their characterization is difficult.
TOSATO, DIEGO +3 more
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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Biharmonic curves along Riemannian submersions
Miskolc Mathematical NotesThe purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
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