Manifolds with wells of negative curvature (with an Appendix by Daniel Ruberman).
Manifolds without Conjugate Points.
Maps between almost Kähler manifolds and framed -manifolds.
Maps of manifolds with indefinite metrics preserving certain geometrical entities.
Margulis Lemma, entropy and free products
We prove a Margulis’ Lemma à la Besson-Courtois-Gallot, for manifolds whose fundamental group is a nontrivial free product , without 2-torsion. Moreover, if is torsion-free we give a lower bound for the homotopy systole in terms of upper bounds on the diameter and the volume-entropy. We also provide examples and counterexamples showing the optimality of our assumption. Finally we give two applications of this result: a finiteness theorem and a volume estimate for reducible manifolds.
Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.
In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.
Maslov indices on the metaplectic group
We use the properties of to construct functions associated with the elements of the lagrangian grassmannian (n) which generalize the Maslov index on Mp(n) defined by J. Leray in his “Lagrangian Analysis”. We deduce from these constructions the identity between and a subset of , equipped with appropriate algebraic and topological structures.
Mass endomorphism, surgery and perturbations
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.
Mass of rays in Alexandrov spaces of nonnegative curvature.
Maße für gerichtete Geraden und nicht-symmetrische Pseudometriken in der Ebene II.
Mathematical instanton bundles on P2n+1.
Maticové Lieovy grupy a Lieovy algebry
Matsuki correspondence for sheaves.
Maximal rationally connected fibrations and movable curves
A well known result of Miyaoka asserts that a complex projective manifold is uniruled if its cotangent bundle restricted to a general complete intersection curve is not nef. Using the Harder-Narasimhan filtration of the tangent bundle, it can moreover be shown that the choice of such a curve gives rise to a rationally connected foliation of the manifold. In this note we show that, conversely, a movable curve can be found so that the maximal rationally connected fibration of the manifold may be recovered...
Maximal subalgebra in the algebra of foliated vector fields of a Riemannian foliation.
Maximal submanifolds and submanifolds with constant mean extrinsic curvature of a lorentzian manifold
Maximal tubes under the deformations of 3-dimensional hyperbolic cone-manifolds.
Maximum principle for hypersurfaces.
Maximum principles and nonexistence results for minimal submanifolds.
Maximum Principles for Minimal surfaces in R3 Having noncompact boundary and a uniqueness theorem for the helicoid.