Results 31 to 40 of about 68,458 (245)

Epsilon Nielsen fixed point theory

open access: yesFixed Point Theory and Applications, 2006
Let f:X→X be a map of a compact, connected Riemannian manifold, with or without boundary. For ∈>0 sufficiently small, we introduce an ∈-Nielsen number N∈(f) that is a lower bound for the number of fixed points of all self-maps of X ...
Robert F. Brown
doaj   +4 more sources

Approximations of Lipschitz maps via Ehresmann's fibrations and Reeb's sphere theorem for Lipschitz functions

open access: yes, 2020
We show, as our main theorem, that if a Lipschitz map from a compact Riemannian manifold $M$ to a connected compact Riemannian manifold $N$, where $\dim M \geq \dim N$, has no singular points on $M$ in the sense of F.H.
Kondo, Kei
core   +1 more source

Biharmonic maps on V-manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds.
Yuan-Jen Chiang, Hongan Sun
doaj   +1 more source

Critical mappings of Riemannian manifolds [PDF]

open access: yesTransactions of the American Mathematical Society, 1979
We consider maps, from one Riemannian manifold to another, which are critical for all invariantly defined functionals on the space of maps. There are many such critical mappings, perhaps too numerous to suitably classify, although a characterization of sorts is provided.
openaire   +2 more sources

A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]

open access: yesOpuscula Mathematica, 2005
Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
doaj  

Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

open access: yesAdvances in Nonlinear Analysis, 2019
A free homotopy decomposition of any continuous map from a compact Riemannian manifold 𝓜 to a compact Riemannian manifold 𝓝 into a finite number maps belonging to a finite set is constructed, in such a way that the number of maps in this free homotopy ...
Schaftingen Jean Van
doaj   +1 more source

Equifocality of a singular riemannian foliation

open access: yes, 2007
A singular foliation on a complete riemannian manifold M is said to be riemannian if each geodesic that is perpendicular at one point to a leaf remains perpendicular to every leaf it meets.
Alexandrino, Marcos M., Toeben, Dirk
core   +3 more sources

Empirical Means on Pseudo-Orthogonal Groups

open access: yesMathematics, 2019
The present article studies the problem of computing empirical means on pseudo-orthogonal groups. To design numerical algorithms to compute empirical means, the pseudo-orthogonal group is endowed with a pseudo-Riemannian metric that affords the ...
Jing Wang, Huafei Sun, Simone Fiori
doaj   +1 more source

On the Construction of Virtual Interior Point Source Travel Time Distances from the Hyperbolic Neumann-to-Dirichlet Map [PDF]

open access: yes, 2015
We introduce a new algorithm to construct travel time distances between a point in the interior of a Riemannian manifold and points on the boundary of the manifold, and describe a numerical implementation of the algorithm.
de Hoop, Maarten   +2 more
core   +2 more sources

Harmonic morphisms and subharmonic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Let M be a complete Riemannian manifold and N a complete noncompact Riemannian manifold. Let ϕ:M→N be a surjective harmonic morphism. We prove that if N admits a subharmonic function with finite Dirichlet integral which is not harmonic, and ϕ has finite
Gundon Choi, Gabjin Yun
doaj   +1 more source

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