Free Download Four-Dimensional Manifolds and Projective Structure
by Graham Hall
English | 2023 | ISBN: 0367900424 | 285 pages | True PDF | 7.9 MB
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Free Download Osserman Manifolds in Semi-Riemannian Geometry by Eduardo García-Río , Demir N. Kupeli , Ramón Vázquez-Lorenzo
English | PDF | 2002| 178 Pages | ISBN : 3540431446 | 14.6 MB
The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.
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Differential Analysis on Complex Manifolds by Raymond O. Wells
English | PDF | 2008 | 315 Pages | ISBN : 0387738916 | 1.9 MB
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
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