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Download Riemannian Geometry of Contact and Symplectic Manifolds (Beitrage Zur Osterreichischen Statistik) ePub

Download Riemannian Geometry of Contact and Symplectic Manifolds (Beitrage Zur Osterreichischen Statistik) ePub
  • ISBN 3764342617
  • ISBN13 978-3764342616
  • Language English
  • Publisher Birkhauser
  • Formats docx doc txt lrf
  • Category No category
  • Size ePub 1830 kb
  • Size Fb2 1676 kb
  • Rating: 4.3
  • Votes: 781


A basic course in Riemannian geometry is a prerequisite.

A basic course in Riemannian geometry is a prerequisite. 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.

Riemannian geometry of contact manifold has been classically studied widely and we do not intend to draw a comprehensive picture of the topic. A classic reference in this field of study is, which the curious reader should consult

Riemannian geometry of contact manifold has been classically studied widely and we do not intend to draw a comprehensive picture of the topic. A classic reference in this field of study is, which the curious reader should consult. The necessary background, in a spirit closer to our viewpoint, is also provided in and . 3) In the classical literature like, the case of θ 2 is studied (named as "contact metrics"), while we do not see such restriction necessary for our work

Preface 1. Symplectic Manifolds 2. Principal S1-bundles 3. Contact Manifolds 4. Associated Metrics 5. .

Preface 1. Integral Submanifolds and Contact Transformations 6. Sasakian and Cosymplectic Manifolds 7. Curvature of Contact Metric Manifolds 8. Submanifolds of Kahler and Sasakian Manifolds 9. Tangent Bundles and Tangent Sphere Bundles 10. Curvature Functionals and Spaces of Associated Metrics 11. Negative Xi-sectional Curvature 12. Complex Contact Manifolds 13. Additional Topics in Complex Geometry 14. 3-Sasakian Manifolds Bibliography Subject Index Author Index. Submanifolds of Kähler an. Submanifolds of Kähler and Sasakian Manifolds 9.

Are you sure you want to remove Riemannian geometry of contact and symplectic manifolds from your list?

Are you sure you want to remove Riemannian geometry of contact and symplectic manifolds from your list? Riemannian geometry of contact and symplectic manifolds. 2nd ed. by David E. Blair. Includes bibliographical references (p. -333) and indexes. Progress in mathematics - v. 203. Classifications. xv, 343 p. : Number of pages.

Start by marking Riemannian Geometry of Contact and Symplectic Manifolds as Want to Read .

Start by marking Riemannian Geometry of Contact and Symplectic Manifolds as Want to Read: Want to Read savin. ant to Read. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader.

The author's lectures, "Contact Manifolds in Riemannian Geometry . Several examples accompany almost all chapters, in the first book in which the geometry of complex contact manifold is presented.

The present text deals. This monograph deals with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter. The text is carefully presented.

In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M, g) is a real, smooth manifold M equipped with an inner product gp on the tangent space TpM at each point p that varies smoothly from point to point in the sense.

In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M, g) is a real, smooth manifold M equipped with an inner product gp on the tangent space TpM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p ↦ gp(Xp, Yp) is a smooth function. The family gp of inner products is called a Riemannian metric (or Riemannian metric tensor).

Several examples accompany almost all chapters, in the first book in which the geometry of complex contact manifold is presented. Always, a correct balance between theory and examples is maintained.

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