Differential and Complex Geometry: Origins, Abstractions and Embeddings

Differential and Complex Geometry: Origins, Abstractions and Embeddings

Wells, Jr., Raymond O.

Springer International Publishing AG

08/2017

319

Dura

Inglês

9783319581835

15 a 20 dias

6269


ebook

Descrição não disponível.
Introduction.- Part I. Geometry in the Age of Enlightenment.- Algebraic Geometry.- Differential Geometry.- Part II. Differential and Projective Geometry in the Nineteenth Century.- Projective Geometry.- Gauss and Intrinsic Differential Geometry.- Riemann's Higher-Dimensional Geometry.- Part III. Origins of Complex Geometry.- The Complex Plane.- Elliptic and Abelian Integrals.- Elliptic Functions.- Complex Analysis.- Riemann Surfaces.- Complex Geometry at the End of the Nineteenth Century.- Part IV. Twentieth-Century Embedding Theorems.- Differentiable Manifolds.- Riemannian Manifolds.- Compact Complex Manifolds.- Noncompact Complex Manifolds.
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differential geometry;complex geometry;differentiable manifold;complex manifold;Riemannian metric;Riemannian manifold;complex analysis;abelian functions;elliptic functions;projective geometry;MSC (2010): 01-02, 30-02, 32-02, 14-02, 51-02, 53-02, 55-02