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＜電子ブック＞
Locally Conformal Kähler Geometry / by Sorin Dragomir, Liuiu Ornea
(Progress in Mathematics. ISSN:2296505X ; 155)

版	1st ed. 1998.
出版者	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年	1998
本文言語	英語
大きさ	XIII, 330 p : online resource
冊子体	Locally conformal Kähler geometry / Sorin Dragomir, Liviu Ornea ; us,gw
著者標目	*Dragomir, Sorin author Ornea, Liuiu author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Geometry FREE:Differential Geometry FREE:Geometry
一般注記	1 L.c.K. Manifolds -- 2 Principally Important Properties -- 2.1 Vaisman’s conjectures -- 2.2 Reducible manifolds -- 2.3 Curvature properties -- 2.4 Blow-up -- 2.5 An adapted cohomology -- 3 Examples -- 3.1 Hopf manifolds -- 3.2 The Inoue surfaces -- 3.3 A generalization of Thurston’s manifold -- 3.4 A four-dimensional solvmanifold -- 3.5 SU(2) x S1 -- 3.6 Noncompact examples -- 3.7 Brieskorn & Van de Ven’s manifolds -- 4 Generalized Hopf manifolds -- 5 Distributions on a g.H. manifold -- 6 Structure theorems -- 6.1 Regular Vaisman manifolds -- 6.2 L.c.K.0 manifolds -- 6.3 A spectral characterization -- 6.4 k-Vaisman manifolds -- 7 Harmonic and holomorphic forms -- 7.1 Harmonic forms -- 7.2 Holomorphic vector fields -- 8 Hermitian surfaces -- 9 Holomorphic maps -- 9.1 General properties -- 9.2 Pseudoharmonic maps -- 9.3 A Schwarz lemma -- 10 L.c.K. submersions -- 10.1 Submersions from CH?n -- 10.2 L.c.K. submersions -- 10.3 Compact total space -- 10.4 Total space a g.H. manifold -- 11 L.c. hyperKähler manifolds -- 12 Submanifolds -- 12.1 Fundamental tensors -- 12.2 Complex and CR submanifolds -- 12.3 Anti-invariant submanifolds -- 12.4 Examples -- 12.5 Distributions on submanifolds -- 12.6 Totally umbilical submanifolds -- 13 Extrinsic spheres -- 13.1 Curvature-invariant submanifolds -- 13.2 Extrinsic and standard spheres -- 13.3 Complete intersections -- 13.4 Yano’s integral formula -- 14 Real hypersurfaces -- 14.1 Principal curvatures -- 14.2 Quasi-Einstein hypersurfaces -- 14.3 Homogeneous hypersurfaces -- 14.4 Type numbers -- 14.5 L. c. cosymplectic metrics -- 15 Complex submanifolds -- 15.1 Quasi-Einstein submanifolds -- 15.2 The normal bundle -- 15.3 L.c.K. and Kähler submanifolds -- 15.4 A Frankel type theorem -- 15.5 Planar geodesic immersions -- 16 Integral formulae -- 16.1 Hopf fibrations -- 16.2 The horizontallifting technique -- 16.3 The main result -- 17 Miscellanea -- 17.1 Parallel IInd fundamental form -- 17.2 Stability -- 17.3 f-Structures -- 17.4 Parallel f-structure P -- 17.5 Sectional curvature -- 17.6 L. c. cosymplectic structures -- 17.7 Chen’s class -- 17.8 Geodesic symmetries -- 17.9 Submersed CR submanifolds -- A Boothby-Wang fibrations -- B Riemannian submersions . 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4612-2026-8

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