Hyperbolic manifolds with convex boundarySpringer Science and Business Media LLC - Tập 163 Số 1 - Trang 109-169 - 2006
Schlenker, Jean-Marc
Let (M,∂M) be a 3-manifold, which carries a hyperbolic metric with convex boundary. We consider the hyperbolic metrics on M such that the boundary is smooth and strictly convex. We show that the induced metrics on the boundary are exactly the metrics with curvature K>-1, and that the third fundamental forms of ∂M are exactly the metrics with curvature K<1, for which the closed geodesics whic...... hiện toàn bộ
Curvature estimates for minimal hypersurfaces in singular spacesSpringer Science and Business Media LLC - Tập 122 Số 1 - Trang 453-473 - 1995
Dierkes, Ulrich
We here prove pointwise curvature estimates for minimal hypersurfaces in singular spaces, using the integral curvature estimate and a generalized “Simons” inequality which were established recently. A further basic ingredient is a new Sobolev type inequality for stationary hypersurfaces.
Zero loci of Bernstein–Sato idealsSpringer Science and Business Media LLC - Tập 225 - Trang 45-72 - 2021
Nero Budur, Robin van der Veer, Lei Wu, Peng Zhou
We prove a conjecture of the first author relating the Bernstein–Sato ideal of a finite collection of multivariate polynomials with cohomology support loci of rank one complex local systems. This generalizes a classical theorem of Malgrange and Kashiwara relating the b-function of a multivariate polynomial with the monodromy eigenvalues on the Milnor fibers cohomology.
Modp loop space homologySpringer Science and Business Media LLC - - 1989
Yves Félix, Stephen Halperin, Jean-Michel Lemaire, Jean‐Claude Thomas
On removable singularities of locally solvable differential operatorsSpringer Science and Business Media LLC - Tập 126 - Trang 589-623 - 1996
Jorge Hounie, Joaquim Tavares
We study removable sets of solutions of locally solvable partial differential operators with smooth coefficients and characterize them in terms of capacity in the sense of Harvey and Polking. For operators of order one we are able to give a geometric characterization of removable sets in terms of orbits in the sense of Sussmann.
Collet, Eckmann and the bifurcation measureSpringer Science and Business Media LLC - - 2019
Matthieu Astorg, Thomas Gauthier, Nicolae Mihalache, Gabriel Vigny
The moduli space
$$\mathcal {M}_d$$
of degree
$$d\ge 2$$
rational maps can naturally be endo...... hiện toàn bộ