Journal of Differential Geometry, Volume 15Lehigh University, 1981 - Geometry |
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Page 273
... complete transversal submani- fold , then the holonomy pseudogroup H ' induced on T ' is canonically equivalent to H ... complete transversal submanifold T. By abuse of language , such an H will be called the ( transverse ) holonomy ...
... complete transversal submani- fold , then the holonomy pseudogroup H ' induced on T ' is canonically equivalent to H ... complete transversal submanifold T. By abuse of language , such an H will be called the ( transverse ) holonomy ...
Page 373
... complete , while N = N ( B , R1 ) = 0 is holomorphic . Then K ( A ) = 0 and H ' = c 0 if either K ( A ) > 0 with H ' bounded or K ( A ) < 0 with 1 / H ' bounded . Proof . Since 0 is holomorphic , R , is not conformally the sphere . If A ...
... complete , while N = N ( B , R1 ) = 0 is holomorphic . Then K ( A ) = 0 and H ' = c 0 if either K ( A ) > 0 with H ' bounded or K ( A ) < 0 with 1 / H ' bounded . Proof . Since 0 is holomorphic , R , is not conformally the sphere . If A ...
Page 374
... complete because A is complete . By the Main Lemma ( i ) , H'A is flat , so that R , is parabolic , by [ 23 ] . If K ( B ) > 0 and H < 0 , the Main Lemma ( iv ) provides a subharmonic function H / H ' < 0 on R , which must be constant ...
... complete because A is complete . By the Main Lemma ( i ) , H'A is flat , so that R , is parabolic , by [ 23 ] . If K ( B ) > 0 and H < 0 , the Main Lemma ( iv ) provides a subharmonic function H / H ' < 0 on R , which must be constant ...
Contents
Cenkl B Porter R Malcevs completion of a group and differential forms 531 | 135 |
Ku H T Automorphism groups of some geometric structures 381 | 237 |
Milnor T K Abstract Weingarten surfaces | 365 |
Copyright | |
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a₁ abéliens admet algèbre de Lie assume B₁ bundle Cartan subalgebra compact complete composantes conjugate locus connected connexe conséquent constant Corollary curvature cut locus defined démonstration denote deux suites diffeomorphism Differential Geometry dimension equivalent équivalentes exists fermé finite foliation follows function G₁ groupe de Lie H₁ Hence holomorphic holonomy homeomorphism integral invariant isometry isomorphism k₁ ks+1 l'algèbre l'équivalence Lemma Lie algebra Lie group linear M₁ M₂ Math metric minimizing geodesic neighborhood nilpotent normal opérateurs orbits proof of Theorem Proposition pseudogroup résoluble resp riemannian manifold riemannian metric S₁ S₂ semi-simple singularity smooth sous-groupe space structure submanifold subspace suite de composition suite principale suites de Jordan-Hölder Suppose tangent tangent bundle théorème topology totally geodesic tout transversal vector bundle vector field y₁ Z₂