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Showing 2009 · math.DGShow all
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math.DG2009
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…
math.DG2009
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…
math.DG2009★ 1 cited
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…