Results 11 to 20 of about 2,910 (192)
On Polyharmonic Riemannian Manifolds
Zeitschrift für Analysis und ihre Anwendungen, 1987 A natural generalization of the harmonic manifolds is considered: a Riemannian manifold is called k -harmonic or polyharmonic if it admits a non-constant k -harmonic
Schimming, R., Kowolik, J.
openaire +3 more sources
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
doaj +1 more source
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
openaire +2 more sources
Separability in Riemannian Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +4 more sources
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
openaire +3 more sources
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.
openaire +3 more sources