منابع مشابه
Hodge theory on nearly Kähler manifolds
Let (M, I,ω,Ω) be a nearly Kähler 6-manifold, that is, an SU(3)-manifold with the (3,0)-form Ω and the Hermitian form ω which satisfies dω = 3λReΩ, d ImΩ = −2λω, for a non-zero real constant λ. We develop an analogue of Kähler relations on M , proving several useful identities for various intrinsic Laplacians onM . WhenM is compact, these identities bring powerful results about cohomology of M ...
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Erkï arung Hiermit versichere ich, dass ich die Diplomarbeit selbständig und lediglich unter Benutzung der angegebenen Quellen und Hilfsmittel verfasst habe. Acknowledgements In the first place I thank my advisor Prof. Dr. Olaf Lechtenfeld for giving me the opportunity to be a diploma student in his group, for continuous support from his side during the whole period of the past twelve months an...
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We consider complete nearly Kähler manifolds with the canonical Hermitian connection. We prove some metric properties of strict nearly Kähler manifolds and give a sufficient condition for the reducibility of the canonical Hermitian connection. A holonomic condition for a nearly Kähler manifold to be a twistor space over a quaternionic Kähler manifold is given. This enables us to give classifica...
متن کاملHodge Theory for R- Manifolds
Let X be an R-fold, and let π : E −→ X be a real vector bundle, of rank r, equipped with a positive definite symmetric bilinear form. If e1, . . . , er ∈ π −1(X) are orthonormal, then e1 ∧ · · · ∧ er is a non-trivial vector in ∧r E. Proposition: If f1, . . . , fr is any other orthonormal basis for π −1(X), then e1 ∧ · · · ∧ er = ±f1 ∧ · · · ∧ fr. Proof. Note that fi = g · ei for g ∈ O(r), so de...
متن کاملKähler (& Hyper-kähler) Manifolds
These notes are based on two talks given at the Arithmetic & Algebraic Geometry Seminar of the Korteweg-de Vriesinstituut for mathematics of the Universiteit van Amsterdam. They are intended to give a short introduction to the theory of Kähler manifolds, with a slight focus of applicability to the subject of K3 surfaces. However, they also include other interesting results not related to K3 sur...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2011
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2011.15.2111