Journal of Differential Geometry, Volume 13Lehigh University, 1979 - Geometry |
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Page 497
... vector bundle over Y and X be the vector bundle F considered as an affine bundle over Y , and let p : X → Y be the projection of this vector bundle F onto Y. Let R " C J ( Ty ; Y ) be a formally integrable Lie equation . Assume that F ...
... vector bundle over Y and X be the vector bundle F considered as an affine bundle over Y , and let p : X → Y be the projection of this vector bundle F onto Y. Let R " C J ( Ty ; Y ) be a formally integrable Lie equation . Assume that F ...
Page 522
... vector bundle associated to P ' ' ( y ) . We say that a differential equation NÅ C J ( F ; Y ) is G - invariant if N is a G - invariant sub - bundle of J ( F ; Y ) . For such an equation , there exist a G - vector bundle F ' over Y and ...
... vector bundle associated to P ' ' ( y ) . We say that a differential equation NÅ C J ( F ; Y ) is G - invariant if N is a G - invariant sub - bundle of J ( F ; Y ) . For such an equation , there exist a G - vector bundle F ' over Y and ...
Page 523
... vector bundle over Y , and P : F →→ F ' a G - invariant linear differential operator of order k . If y : J ( F ; Y ) → F ' is the G - morphism of vector bundles → F ' such that P = j and N , is the G - invariant differential ...
... vector bundle over Y , and P : F →→ F ' a G - invariant linear differential operator of order k . If y : J ( F ; Y ) → F ' is the G - morphism of vector bundles → F ' such that P = j and N , is the G - invariant differential ...
Contents
B Y Chen K Yano On the theory of normal variations | 1 |
B Cenkle Residues of singularities of holomorphic foliations | 11 |
Webster PseudoHermitian structures on a real hypersurface | 25 |
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a₁ analytic assume automorphism B₁ cohomology commutative compact complex condition consider constant convex coordinate courbure defined Démonstration denote diag diffeomorphism Differential Geometry dimension element Euclidean exists fiber finite foliation follows formally integrable Lie function G-structure given graded Lie algebras harmonique Hence holomorphic homeomorphism hyperbolic hyperplane hypersurfaces implies invariant isometry isomorphism K₁ Lemma linear linearly induced M₁ M₂ Math mean curvature metric n-dimensional neighborhood obtain one-form orbits orthogonal P₁ polynomial Proof Proposition prove pseudogroup quaternionic R₁ Riemannian manifold Riemannian metric Riemannian submersion satisfies sequence smooth space sphere structure subgroup submanifold subset subspace surface surjective symmetric T₁ tangent Theorem théorème topological totally geodesic transitive Lie algebra V₁ variétés vector bundle vector field w₁ X₁ zero Λω