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Geometry, Riemannian. --- Riemann, Géométrie de --- Riemann, Géométrie de
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Finsler spaces. --- Geometry, Riemannian. --- Espaces de Finsler --- Riemann, Géométrie de --- Riemann, Géométrie de
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Geometry [Riemannian ] --- Groupes d'holonomie --- Holonomie [Groepen ] --- Holonomy groups --- Riemann [Geometrie de ] --- Riemann [Meetkunde van ] --- Geometry, Riemannian. --- Holonomy groups.
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Differential geometry. Global analysis --- Polytopes. --- Orthogonal polynomials. --- Geometry, Riemannian. --- Polytopes --- Polynômes orthogonaux --- Riemann, Géométrie de --- Polynômes orthogonaux --- Riemann, Géométrie de
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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.
Differential geometry. Global analysis --- Geometry, Riemannian --- Finsler spaces --- Riemann, Géométrie de --- Espaces de Finsler --- Finsler spaces. --- Geometry, Riemannian. --- Riemann, Géométrie de --- Geometry. --- Mathematics --- Euclid's Elements
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Geometry, Riemannian. --- Riemann, Géométrie de --- Geometry, Riemannian --- #TELE:SISTA --- Riemann geometry --- Riemannian geometry --- Generalized spaces --- Geometry, Non-Euclidean --- Semi-Riemannian geometry
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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
Contact manifolds --- Symplectic manifolds --- Geometry, Riemannian --- Variétés de contact (Géométrie) --- Variétés symplectiques --- Riemann, Géométrie de --- Variétés de contact (Géométrie) --- Variétés symplectiques --- Riemann, Géométrie de --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B
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Differential geometry. Global analysis --- Riemann, Géométrie de. --- Riemann, Variétés de. --- 514.7 --- Differential geometry. Algebraic and analytic methods in geometry --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Riemann, Géométrie de. --- Riemann, Variétés de. --- Géometrie de Riemann --- Géometrie différentielle --- Géometrie de Riemann --- Géometrie différentielle --- Riemann, Variétés de
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Riemann, variétés de --- Riemann, géométrie de --- Variétés (mathématiques) --- Géométrie différentielle --- Variétés différentiables --- Riemann, variétés de --- Riemann, géométrie de --- Variétés (mathématiques) --- Géométrie différentielle --- Variétés différentiables --- Analyse fonctionnelle non linéaire --- Géometrie différentielle --- Analyse fonctionnelle non linéaire --- Géometrie différentielle --- Analyse sur une variété
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