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- Joint Institute for Nuclear ResearchRU55 papers
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7 papers · 1 filter
Volume preserving mean curvature flow of revolution hypersurfaces between two equidistants
Esther Cabezas-Rivas, Vicente Miquel
In a rotationally symmetric space $\oM$ around an axis A (whose precise definition includes all real space forms), we consider a domain limited by two equidistant hypersurfaces…
Scattering rigidity for analytic Riemannian manifolds with a possible magnetic field
Pilar Herreros, James Vargo
Consider a compact Riemannian manifold with boundary endowed with a magnetic field. A path taken by a particle of unit charge, mass, and energy is called a magnetic geodesic. It is…
Manifolds with 1/4-pinched flag curvature
Lei Ni, Burkhard Wilking
We say that a nonnegatively curved manifold has quarter pinched flag curvature if for any two planes which intersect in a line the ratio of their sectional curvature is bou…
A general Weyl-type Integration Formula for Isometric Group Actions
Frederick Magata
We show that integration over a -manifold can be reduced to integration over a minimal section with respect to an induced weighted measure and integration over a homogen…
Nonnegatively and Positively curved manifolds
Burkhard Wilking
This is a survey written for a special edition of the journal of differential geometry.
A duality theorem for Riemannian foliations in nonnegative sectional curvature
Burkhard Wilking
Using a new type of Jacobi field estimate we will prove a duality theorem for singular Riemannian foliations in complete manifolds of nonnegative sectional curvature.