Geometry and Spectra of Compact Riemann Surfaces

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Release : 2010-10-29
Genre : Mathematics
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Book Rating : 921/5 ( reviews)

Geometry and Spectra of Compact Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Spectra of Compact Riemann Surfaces write by Peter Buser. This book was released on 2010-10-29. Geometry and Spectra of Compact Riemann Surfaces available in PDF, EPUB and Kindle. This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.

Compact Riemann Surfaces

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 454/5 ( reviews)

Compact Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Riemann Surfaces write by Jürgen Jost. This book was released on 2013-03-09. Compact Riemann Surfaces available in PDF, EPUB and Kindle. This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics. The book can serve as an introduction to contemporary mathematics as a whole, as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Geometry of Riemann Surfaces

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Release : 2010-02-11
Genre : Mathematics
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Book Rating : 073/5 ( reviews)

Geometry of Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Riemann Surfaces write by William J. Harvey. This book was released on 2010-02-11. Geometry of Riemann Surfaces available in PDF, EPUB and Kindle. Original research and expert surveys on Riemann surfaces.

Geometry of Riemann Surfaces and Teichmüller Spaces

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Release : 2011-08-18
Genre : Mathematics
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Book Rating : 808/5 ( reviews)

Geometry of Riemann Surfaces and Teichmüller Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Riemann Surfaces and Teichmüller Spaces write by M. Seppälä. This book was released on 2011-08-18. Geometry of Riemann Surfaces and Teichmüller Spaces available in PDF, EPUB and Kindle. The moduli problem is to describe the structure of the spaceof isomorphism classes of Riemann surfaces of a giventopological type. This space is known as the modulispace and has been at the center of pure mathematics formore than a hundred years. In spite of its age, this fieldstill attracts a lot of attention, the smooth compact Riemannsurfaces being simply complex projective algebraic curves.Therefore the moduli space of compact Riemann surfaces is alsothe moduli space of complex algebraic curves. This space lieson the intersection of many fields of mathematics and may bestudied from many different points of view. The aim of thismonograph is to present information about the structure of themoduli space using as concrete and elementary methods aspossible. This simple approach leads to a rich theory andopens a new way of treating the moduli problem, putting newlife into classical methods that were used in the study ofmoduli problems in the 1920s.

Symmetries of Compact Riemann Surfaces

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Release : 2010-09-29
Genre : Mathematics
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Book Rating : 28X/5 ( reviews)

Symmetries of Compact Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetries of Compact Riemann Surfaces write by Emilio Bujalance. This book was released on 2010-09-29. Symmetries of Compact Riemann Surfaces available in PDF, EPUB and Kindle. This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.