A locally symmetric Kähler Einstein structure on the tangent bundle of a space form.
A logarithmic Gauss curvature flow and the Minkowski problem
À l'ombre de Loewner
A lossless reduction of geodesics on supermanifolds to non-graded differential geometry
Let be a smooth supermanifold with connection and Batchelor model . From we construct a connection on the total space of the vector bundle . This reduction of is well-defined independently of the isomorphism . It erases information, but however it turns out that the natural identification of supercurves in (as maps from to ) with curves in restricts to a 1 to 1 correspondence on geodesics. This bijection is induced by a natural identification of initial conditions for geodesics...
A lower bound for ... on manifolds with boundary.
A lower bound for the i-th total absolute curvature of an immersion
A lower bound on ... for geometrically finite hyperbolic n-manifolds.
A lower estimate for the number of zero-torsion points of a space curve.
A maximum principle for mean-curvature type elliptic inequalities
A measure of symmetry for ovals
A method for weight multiplicity computation based on Berezin quantization.
A Method of Solving Nonlinear Variational Problems by Nonlinear Transformation of the Objective Functional. Part II.
A Method of Solving Nonlinear Variational Problems by Nonlinear Transformation of the Objective Functional. Part I.
A metric characterization of manifolds with boundary
A metric induced by the geometric interpretation of Rolle's theorem.
A metric inequality for the Thompson and Hilbert geometries.
A minimization problem arising from prescribing scalar curvature functions.
A model of gauge theory with invariant variables.
A Monge-Ampère equation in conformal geometry
We consider the Monge-Ampère-type equation , where is the Schouten tensor of a conformally related metric and is a suitably chosen constant. When the scalar curvature is non-positive we give necessary and sufficient conditions for the existence of solutions. When the scalar curvature is positive and the first Betti number of the manifold is non-zero we also establish existence. Moreover, by adapting a construction of Schoen, we show that solutions are in general not unique.
A monotonicity formula for Yang-Mills Fields.