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1996
Harmonic maps between Riemannian manifolds satisfy a system of quasi-linear partial differential equations. In order to have existence results one would solve PDE’s on certain manifolds. In the case when the sectional curvature of the target manifold is nonpositive or the image of the map is contained in a geodesic convex neighborhood, such a problem ...
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Harmonic maps between Riemannian manifolds satisfy a system of quasi-linear partial differential equations. In order to have existence results one would solve PDE’s on certain manifolds. In the case when the sectional curvature of the target manifold is nonpositive or the image of the map is contained in a geodesic convex neighborhood, such a problem ...
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ON THE EXTENSION OF EQUIVARIANT MAPPINGS
Mathematics of the USSR-Sbornik, 1975It is proved that a metric space with a homeomorphism of prime period is an equivariant extensor for metric spaces with -dimensional complement if and only if the space itself and the set of fixed points of the homeomorphism are homotopically connected and locally homotopically connected in dimension .Bibliography: 9 titles.
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Degree for Gradient Equivariant Maps and Equivariant Conley Index
1997In order to establish some notation and terminology we recall that if f : ℝ n → ℝ n is continuous and Ω is an open bounded subset of ℝ n such that f is different from 0 on the boundary of Ω, then there is defined an integer Deg(f, Ω) — the Brouwer (or topological) degree of f with respect to Ω.
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Fixed orbit index for equivariant maps
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +2 more sources
SO(3)-EQUIVARIANT MAPS OF SPHERES
The Quarterly Journal of Mathematics, 1976openaire +2 more sources