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Riemannian geometry and geometric analysis
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ISBN: 3540571132 0387571132 3662031183 Year: 1995 Publisher: Berlin ; New York : Springer,

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Riemann-Finsler geometry
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ISBN: 9812383573 9812383581 Year: 2005 Volume: v. 6 Publisher: River Edge, N.J. : World Scientific,

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Book
Riemannian geometry and holonomy groups
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ISBN: 0470213132 Year: 1989 Volume: vol 201 Publisher: New York Longman Scientific & Technical

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Book
Polynomial approximation on polytopes
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ISBN: 9781470416669 1470416662 Year: 2014 Publisher: Providence, Rhode Island : American Mathematical Society,

An Introduction to Riemann-Finsler Geometry
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ISBN: 038798948X 1461270707 1461212685 9780387989488 Year: 2000 Volume: 200 Publisher: New York : Springer,

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In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe? It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one.

Teichmüller theory in Riemannian geometry
Authors: ---
ISBN: 3764327359 0817627359 3034886136 Year: 1992 Publisher: Basel ; Boston : Birkhäuser Verlag,

Riemannian geometry
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ISBN: 0387982124 9780387982120 Year: 1998 Volume: 171 Publisher: New York (N.Y.): Springer

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Book
Riemannian geometry of contact and symplectic manifolds
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ISBN: 9780817649593 9780817649586 Year: 2010 Publisher: New York : Birkhäuser,

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This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds. New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions discussed in Chapter 11 for the real case. Both of these topics make use of Étienne Ghys's attractive notion of a holomorphic Anosov flow. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from this work. A basic course in Riemannian geometry is a prerequisite. Reviews from the First Edition: "The book . . . can be used either as an introduction to the subject or as a reference for students and researchers . . . [it] gives a clear and complete account of the main ideas . . . and studies a vast amount of related subjects such as integral sub-manifolds, symplectic structure of tangent bundles, curvature of contact metric manifolds and curvature functionals on spaces of associated metrics." Mathematical Reviews " ¦this is a pleasant and useful book and all geometers will profit [from] reading it. They can use it for advanced courses, for thesis topics as well as for references. Beginners will find in it an attractive [table of] contents and useful ideas for pursuing their studies." Memoriile Sectiilor Stiintifice

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