Ebook: Locally Conformal Kähler Geometry

. E C, 0 < 1>'1 < 1, and n E Z, n ~ 2. Let~.>. be the O-dimensional Lie n group generated by the transformation z ~ >.z, z E C - {a}. Then (cf.

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Content:
Front Matter....Pages i-xiii
L.c.K. Manifolds....Pages 1-5
Principally Important Properties....Pages 7-19
Examples....Pages 21-31
Generalized Hopf manifolds....Pages 33-40
Distributions on a g.H. manifold....Pages 41-47
Structure theorems....Pages 49-67
Harmonic and holomorphic forms....Pages 69-83
Hermitian surfaces....Pages 85-102
Holomorphic maps....Pages 103-120
L.c.K. submersions....Pages 121-132
L.c. hyperK?hler manifolds....Pages 133-145
Submanifolds....Pages 147-186
Extrinsic spheres....Pages 187-217
Real hypersurfaces....Pages 219-237
Complex submanifolds....Pages 239-255
Integral formulae....Pages 257-274
Miscellanea....Pages 275-298
Back Matter....Pages 299-330

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Content:
Front Matter....Pages i-xiii
L.c.K. Manifolds....Pages 1-5
Principally Important Properties....Pages 7-19
Examples....Pages 21-31
Generalized Hopf manifolds....Pages 33-40
Distributions on a g.H. manifold....Pages 41-47
Structure theorems....Pages 49-67
Harmonic and holomorphic forms....Pages 69-83
Hermitian surfaces....Pages 85-102
Holomorphic maps....Pages 103-120
L.c.K. submersions....Pages 121-132
L.c. hyperK?hler manifolds....Pages 133-145
Submanifolds....Pages 147-186
Extrinsic spheres....Pages 187-217
Real hypersurfaces....Pages 219-237
Complex submanifolds....Pages 239-255
Integral formulae....Pages 257-274
Miscellanea....Pages 275-298
Back Matter....Pages 299-330
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