Last edited by Karg
Tuesday, February 4, 2020 | History

7 edition of Non-Riemannian geometry found in the catalog.

Non-Riemannian geometry

Eisenhart, Luther Pfahler

Non-Riemannian geometry

  • 211 Want to read
  • 2 Currently reading

Published by American Mathematical Society in New York .
Written in English

    Subjects:
  • Geometry, Differential

  • Edition Notes

    Statementby Luther Pfahler Eisenhart ...
    SeriesAmerican Mathematical Society. Colloquium publications, vol. VIII
    Classifications
    LC ClassificationsQA641 .E55
    The Physical Object
    Paginationvii, 184 p.
    Number of Pages184
    ID Numbers
    Open LibraryOL6721958M
    LC Control Number28028413
    OCLC/WorldCa523629

    Review Text From the reviews: "The book gives genius insight into the connections between topology and Riemannian geometry, geometry and probability, geometry and analysis, respectively. The present English translation of that work has been enriched and expanded with new material to reflect recent progress. With a signature of p, 1 or 1, qthe manifold is also locally and possibly globally time-orientable see Causal structure. The present English translation of that work has been enriched and expanded with new material to reflect recent progress. Many fascinating open problems are pointed out.

    Applied to a vector field, the resulting scalar field value at any point of the manifold can be positive, negative or zero. I disagree with the idea that this is only because of the flexibility of English in using nouns as adjectives. Lebesgue integral. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov. In Riemannian geometry, parallelism is determined geometrically by this property: along a geodesic, vectors are parallel if they make the same angle with the tangents. The signature of a pseudo-Riemannian metric is p, qwhere both p and q are non-negative.

    The geodesic flow of any compact Riemannian manifold with negative sectional curvature is ergodic. The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green Book" by Lafontaine and Pansu Splitting theorem. With a signature of p, 1 or 1, qthe manifold is also locally and possibly globally time-orientable see Causal structure. The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green Book" by Lafontaine and Pansu


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Non-Riemannian geometry book

The huge variety of progressive key ideas could provide numerous research problems in the next decades. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy-Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity.

This book is certain to be a source of inspiration for many researchers as well as required reading for students entering the subject. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy-Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity.

This has been the line of approach adopted also by Cartan, Schouten and others. Ebin see below. The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov-Hausdorff distance between Riemannian manifolds.

Bishop—Gromov inequality. Try AbeBooks Description Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author, Luther Pfahler Eisenhart, and Oswald Veblen, who were faculty colleagues at Princeton University during the early twentieth century.

Unabridged republication of the edition published by the American Mathematical Society, New York, This has been the line of approach adopted also by Cartan, Schouten and others. Free shipping for individuals worldwide Usually dispatched within 3 to 5 business days.

This list is oriented to those who already know the basic definitions and want to know what these definitions are about. Such a metric is called a pseudo-Riemannian metric.

Projective Geometry

Gromov's Betti number theorem. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov.

The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov—Hausdorff distance between Riemannian manifolds. For most of the examples listed in the OP, there is a difference between the two lists.

The AMS should be commended for reprinting it. This generalization consisted in using general functions of the coordinates in the formulas of covariant differentiation in place of the Christoffel symbols formed with respect to the fundamental tensor of a Riemannian space.

When such a set of functions is assigned to a space it is said to be affinely connected. This generalization consisted in using general functions of the coordinates in the formulas of covariant differentiation in place of the Christoffel symbols formed with respect to the fundamental tensor of a Riemannian space.

It is hard work to go through the book, but it is worth the effort. Covariant differentiation, as developed by Christoffel and Ricci, is a fundamental process in this theory.

In non-Riemannian geometry, the Levi-Civita parallelism imposed a priori is replaced by a determination by arbitrary functions affine connections. Starting with a consideration of asymmetric connections, the author proceeds to a contrasting survey of symmetric connections.

The present English translation of that work has been enriched and expanded with new material to reflect recent progress.In differential geometry, a pseudo-Riemannian manifold, also called a semi-Riemannian manifold, is a differentiable manifold with a metric tensor that is everywhere sylvaindez.com is a generalization of a Riemannian manifold in which the requirement of positive-definiteness is relaxed.

Every tangent space of a pseudo-Riemannian manifold is a pseudo-Euclidean vector space. Mar 04,  · The Paperback of the Coordinate Geometry by Luther Pfahler Eisenhart at Barnes & Noble. FREE Shipping on $35 or more! non riemannian geometry. book by herbert busemann. book by nolan r wallach.

Geared toward advanced undergraduates familiar with analysis and college geometry, this concise book discusses theorems on topics restricted to Author: Luther Pfahler Eisenhart.

Metric Structures for Riemannian and Non-Riemannian Spaces: sylvaindez.com: Mikhael Gromov: Libri in altre lingue. Passa al contenuto principale. Iscriviti a Prime Ciao, Accedi Account e liste Accedi Account e liste Ordini Iscriviti a Prime Carrello.

Tutte le categorie. VAI Reviews: 4. Non-Riemannian geometry of v ortex acoustics 12 [4] S. Bergliaffa,K. Hibb erd, M. Stone and M. Visser,W a v e equation for Sound in Fluids with V orticity, Ph ysica D (Amsterdan) () in press. 您的位置: 首页 > 科学自然 > 数学 > Non-Riemannian Geometry 目录导航.

保龄球 主要配料 露营 职业健康. Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhauser Classics) eBook: Mikhail Gromov, Jacques LaFontaine, Pierre Pansu, S. M. Bates: sylvaindez.com: Kindle StoreReviews: 1.