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math.DG2007★ 4 cited
Curvature explosion in quotients and applications
Alexander Lytchak, Gudlaugur Thorbergsson
We prove that the quotient space of a variationally complete group action is a good Riemannian orbifold. The result is generalized to singular Riemannian foliations without horizon…
math.DG2007
Notes on the Jacobi equation
Alexander Lytchak
We discuss some properties of Jacobi fields that do not involve assumptions on the curvature endomorphism. We compare indices of different spaces of Jacobi fields and give some app…