Journal of Differential Geometry, Volume 19Lehigh University, 1984 - Geometry |
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Page 210
... Hermitian structure . Denote this induced connection by D. If TE Tu ( Hom ( Ek , n + k Ek , n + k ) ) and s Є Tu ( Ek.n + k ) on some open set of U , ( 1.3 ) ( ĎxT ) ( s ) = Dž ( Ts ) – T ( Dxs ) . The metric we use on Gk , n + k is the ...
... Hermitian structure . Denote this induced connection by D. If TE Tu ( Hom ( Ek , n + k Ek , n + k ) ) and s Є Tu ( Ek.n + k ) on some open set of U , ( 1.3 ) ( ĎxT ) ( s ) = Dž ( Ts ) – T ( Dxs ) . The metric we use on Gk , n + k is the ...
Page 433
... Hermitian manifold , of a Hermitian holomorphic line bundle which is not semipositive . All that is required is the assumption that , outside a set whose measure is small compared to some constants constructed from the manifold , the ...
... Hermitian manifold , of a Hermitian holomorphic line bundle which is not semipositive . All that is required is the assumption that , outside a set whose measure is small compared to some constants constructed from the manifold , the ...
Page 447
... Hermitian metric induced from L. For v Є L * let || v || be its length with respect to the Hermitian metric . Since the curvature form of L is strictly positive at Po , we can choose a Stein open neighborhood G of Po in M , a ...
... Hermitian metric induced from L. For v Є L * let || v || be its length with respect to the Hermitian metric . Since the curvature form of L is strictly positive at Po , we can choose a Stein open neighborhood G of Po in M , a ...
Contents
Sternberg S See Guillemin V Sternberg S | 31 |
Bando S On the classification of threedimensional compact Kaehler | 283 |
See Lyons T Sullivan D | 299 |
Copyright | |
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abelian AIA(G algebra assume asymptotic b₁ canonical closed geodesics cohomology group commutative compact complex connected constant coordinates Corollary curvature curve D₁ D₂ defined deformations denote dimension dimensional divisor equation exact sequence exists F₁ F₂ finite follows G-invariant Gauss map geometry given H₁ H¹(A H₂ harmonic functions harmonic maps hence holomorphic homotopy induced inequality integral invariant isometry isomorphism Jacobian variety Kaehler manifold Koszul Koszul cohomology Lie group line bundle linear Math metric minimal surfaces moment map multiplicity-free nonzero obtain orbit orthogonal orthonormal P₁ P₂ principal G-bundle projection Proof of Lemma Proof of Proposition proof of Theorem prove pullback quotient rank Riemannian manifold satisfies self-dual smooth space stable structure subgroup subspace Suppose symplectic tangent theory vanishes vector bundle vector field w₁ w₂ Y₁ zero