Results 1 to 10 of about 32,032 (92)
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative [PDF]
, 2015 Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space.
Santana, Alexandre J. +1 more
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Cohomological aspects on complex and symplectic manifolds [PDF]
, 2016 We discuss how quantitative cohomological informations could provide qualitative properties on complex and symplectic manifolds. In particular we focus on the Bott-Chern and the Aeppli cohomology groups in both cases, since they represent useful tools in
A. Aeppli +22 more
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Complexes of Discrete Distributional Differential Forms and their Homology Theory [PDF]
, 2015 Complexes of discrete distributional differential forms are introduced into finite element exterior calculus. Thus we generalize a notion of Braess and Sch\"oberl, originally studied for a posteriori error estimation.
Licht, Martin Werner
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, 2009 Let M be a hyperbolic 3-manifold with nonempty totally geodesic boundary. We prove that there are upper and lower bounds on the diameter of the skinning map of M that depend only on the volume of the hyperbolic structure with totally geodesic boundary ...
Kent Iv, Richard Peabody
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, 2015 We study surfaces of constant positive Gauss curvature in Euclidean 3-space via the harmonicity of the Gauss map. Using the loop group representation, we solve the regular and the singular geometric Cauchy problems for these surfaces, and use these ...
Brander, David
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Superrigidity In Infinite Dimension And Finite Rank Via Harmonic Maps
, 2012 We prove geometric superrigidity for actions of cocompact lattices in semisimple Lie groups of higher rank on infinite dimensional Riemannian manifolds of nonpositive curvature and finite telescopic ...
Duchesne, Bruno
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Curvature and bubble convergence of harmonic maps
, 2011 We explore geometric aspects of bubble convergence for harmonic maps. More precisely, we show that the formation of bubbles is characterised by the local excess of curvature on the target manifold. We give a universal estimate for curvature concentration
Kokarev, Gerasim
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Discrete spherical means of directional derivatives and Veronese maps [PDF]
, 2011 We describe and study geometric properties of discrete circular and spherical means of directional derivatives of functions, as well as discrete approximations of higher order differential operators.
Alexander Belyaev +36 more
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Pseudospherical surfaces with singularities [PDF]
, 2016 We study a generalization of constant Gauss curvature -1 surfaces in Euclidean 3-space, based on Lorentzian harmonic maps, that we call pseudospherical frontals.
Brander, David
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Curvature as a Measure of the Thermodynamic Interaction
, 2010 We present a systematic and consistent construction of geometrothermodynamics by using Riemannian contact geometry for the phase manifold and harmonic maps for the equilibrium manifold. We present several metrics for the phase manifold that are invariant
Quevedo, Hernando +3 more
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