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Pseudo holomorphic curves in symplectic manifolds
Definitions. A parametrized (pseudo holomorphic) J-curve in an almost complex manifold (IS, J) is a holomorphic map of a Riemann surface into Is, say f : (S, J3 ~(V, J). The image C=f(S)C V is calledExpand
Metric Structures for Riemannian and Non-Riemannian Spaces
Length Structures: Path Metric Spaces.- Degree and Dilatation.- Metric Structures on Families of Metric Spaces.- Convergence and Concentration of Metrics and Measures.- Loewner Rediscovered.-Expand
Partial Differential Relations
1. A Survey of Basic Problems and Results.- 2. Methods to Prove the h-Principle.- 3. Isometric C?-Immersions.- References.- Author Index.
Filling Riemannian manifolds
Manifolds of Nonpositive Curvature
Preface.-Introduction.-Lectures on Manifolds of Nonpositive Curvature.-Simply Connected Manifolds of Nonpositive Curvature.-Groups of Isometries.-Finiteness theorems.-Strong Rigidity of LocallyExpand
Carnot-Carathéodory spaces seen from within
Let V be a smooth manifold where we distinguish a subset H in the set of all piecewise smooth curves c in V. We assume that H is defined by a local condition on curves, i.e. if c is divided intoExpand
Positive scalar curvature and the Dirac operator on complete riemannian manifolds
Operateurs de Dirac generalises sur une variete complete. Theoremes d'annulation. Estimations pour la dimension du noyau et du conoyau. Le theoreme d'indice relatif. Varietes hyperspheriques etExpand