Journal of Differential Geometry, Volume 14Lehigh University, 1981 - Geometry |
Contents
Amores A M Vector fields of a finite type Gstructure | 1 |
D Critical Riemannian manifolds 599 | 21 |
Dekster B V Upper estimates of the length of a curve in a Riemannian | 54 |
13 other sections not shown
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automorphism boundary cohomology compact condition convex coordinates Corollary curve defined Definition denote derivatives diffeomorphism differentiable space differential equation differential forms Differential Geometry dimension dsē e₁ eigenvalue elliptic exists finite geodesic h₁ Hence Hermitian symmetric holomorphic homotopy hypersurface implies integral invariant circle involutive isometric immersion isomorphism Lemma Lie algebra linear Math metric N₁ N₂ neighborhood nonnegative normal obtain orthogonal orthonormal partial differential partitions of unity positive principal curvatures proof of Theorem Proposition prove pseudo-group R₁ real hypersurface reflective submanifolds resp Rham Ricci curvature Riemannian manifold satisfies second fundamental form sectional curvature sequence sheaf simplicial complex simply connected smooth function smooth partitions solution structure submanifolds subset subspace Suppose surface symmetric spaces tangent tensor theory topology vector bundle vector field X₁ zero