Results 11 to 20 of about 1,337 (262)
Entropy, 2022 We consider the problem of finding the closest multivariate Gaussian distribution on a constraint surface of all Gaussian distributions to a given distribution.
Trevor Herntier, Adrian M. Peter
doaj +1 more source
Closed Locally Minimal Networks on the Surfaces of Convex Polyhedra
Моделирование и анализ информационных систем, 2013 Closed locally minimal networks can be viewed as “branching” closed geodesics. We study such networks on the surfaces of convex polyhedra and discuss the problem of describing the set of all convex polyhedra that have such networks.
N. P. Strelkova
doaj +3 more sources
Rank inequality in homogeneous Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classification of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying $K\
Ming Xu
doaj +1 more source
Mean Estimation on the Diagonal of Product Manifolds
Algorithms, 2022 Computing sample means on Riemannian manifolds is typically computationally costly, as exemplified by computation of the Fréchet mean, which often requires finding minimizing geodesics to each data point for each step of an iterative optimization scheme.
Mathias Højgaard Jensen, Stefan Sommer
doaj +1 more source
Counting geodesics of given commutator length
Forum of Mathematics, Sigma, 2023 Let $\Sigma $ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those periodic geodesics in $\Sigma $ having at most length L and which can be written as the product of g commutators.
Viveka Erlandsson, Juan Souto
doaj +1 more source
Closed Geodesics on Incomplete Surfaces [PDF]
Geometriae Dedicata, 2005 27 pages, 6 ...
Norbury, Paul, Rubinstein, J. Hyam.
openaire +3 more sources
Simple Closed Quasigeodesics on Tetrahedra
Information, 2022 Pogorelov proved in 1949 that every convex polyhedron has at least three simple closed quasigeodesics. Whereas a geodesic has exactly a π surface angle to either side at each point, a quasigeodesic has at most a π surface angle to either side at each ...
Joseph O’Rourke, Costin Vîlcu
doaj +1 more source
Loop products and closed geodesics [PDF]
Duke Mathematical Journal, 2009 63 ...
Goresky, Mark, Hingston, Nancy
openaire +4 more sources
Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics
Journal of Functional Analysis, 2023 20 pages, to appear in J. Funct. Anal.
Duan, Huagui, Xie, Dong
openaire +2 more sources
Stable Geodesic Surface Signatures
Tsinghua Science and Technology, 2012 Shape analysis plays a fundamental role in computer graphics. We present a novel global and intrinsic shape representation for shape analysis, called stable geodesic signature.
Min Zhang +4 more
doaj +1 more source