2 edition of **Metric methods in Finsler spaces and in the foundations of geometry** found in the catalog.

Metric methods in Finsler spaces and in the foundations of geometry

Herbert Busemann

- 322 Want to read
- 19 Currently reading

Published
**1965**
by Princeton University Press, Kraus Reprint Corp. in Princeton, New York
.

Written in English

- Generalized spaces,
- Geometry -- Foundations

**Edition Notes**

Bibliography: p. 235-239

Other titles | Finsler spaces |

Statement | by Herbert Busemann |

Series | Annals of mathematics studies; no. 8, Annals of mathematics studies -- no. 8 |

The Physical Object | |
---|---|

Pagination | 243 p. |

Number of Pages | 243 |

ID Numbers | |

Open Library | OL14634769M |

A Finsler space is called with -metric if there exists a 2-homogeneous function of two variables such that the Finsler metric is given by where is a Riemannian metric and is a 1-form on. Example 7. (1 0) If, then the Finsler space with Finsler metric is called a Randers space. Metric methods in Finsler spaces and in the foundations of geometry, Princeton University Press, Oxford University Press, with Affine plane ( words) [view diff] case mismatch in snippet view article find links to article.

The Mathematical Sciences Research Institute (MSRI), founded in , is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the. Abstract. In this chapter we study homogeneous Finsler spaces. In Sect. , we define the notions of Minkowski Lie pairs and Minkowski Lie algebras to give an algebraic description of invariant Finsler metrics on homogeneous manifolds and bi-invariant Finsler metrics on Lie groups.

(AM)》,《Isoperimetric Inequalities in Mathematical Physics. (AM) (Annals of Mathematics Studies)》,《Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) (Annals of Mathematics Studies)》,《On Knots》 等。. We investigate whether Szabo’s metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theorem states that, if the metric is of Berwald type (i.e., its Chern–Rund connection defines an affine connection on the underlying manifold), then it is affinely equivalent to a Riemann space, meaning that its.

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Metric Methods in Finsler Spaces and in the Foundations of Geometry Issue 8 of Annals of Mathematics Studies, ISSN Issue 8 of Metric Methods in Finsler Spaces and in the Foundations of Geometry: By Herbert Busemann, Herbert Busemann: Author: Herbert Busemann: Publisher: Princeton University Press, ISBN: X, 5/5(1).

Metric Methods of Finsler Spaces and in the Foundations of Geometry, Paperback by Busemann, Herbert, ISBN X, ISBNBrand New, Free shipping in the US The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be Rating: % positive.

The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming. Metric methods in Finsler spaces and in the foundations of geometry.

Princeton, Princeton university press; London, H. Milford, Oxford university press, (OCoLC) Document Type: Book: All Authors / Contributors: Herbert Busemann.

Get this from a library. Metric methods in Finsler spaces and in the foundations of geometry. [Herbert Busemann]. The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry.

(AM-8), will be forthcoming. eISBN: Subjects: Mathematics In no other approach to the foundations of geometry is the idea of a motion as natural and simple as it is in metric spaces; a motion is a mapping of the space on.

Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Herbert Busemann. The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming. $ $ Regular Polytopes. Coxeter. Geometry of Geodesics, Academic PressDover, Metric methods in Finsler spaces and in the foundations of geometry, Princeton University Press, Oxford University Press, with Bhalchandra Phadke: Spaces with distinguished geodesics, Dekker, Recent synthetic differential geometry, Springer See also.

Busemann function. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern geometry point of view.

The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory. Book Review: Herbert Busemann, Metric methods in Finsler spaces and in the foundations of geometry Ficken, F.

A., Bulletin of the American Mathematical Society, Review: K. Borsuk and Wanda Szmielew, Foundations of geometry, Euclidean and Bolyai-Lobachevskian geometry, projective geometry Freudenthal, Hans, Bulletin of the American.

Volume I of the collection features Busemann’s papers on the foundations of geodesic spaces and on the metric geometry of Finsler spaces. () was one of the most original geometers of the twentieth century, and one of the main founders of metric methods in geometry.

His work brought together the axiomatic geometry of Hilbert. Book Review: Herbert Busemann, Metric methods in Finsler spaces and in the foundations of geometry Ficken, F. A., Bulletin of the American Mathematical Society, ; The geometry of Finsler spaces Busemann, Herbert, Bulletin of the American Mathematical Society, ; Finsler geometry in the tangent bundle Tamássy, Lajos, ; A survey of complex Finsler geometry Wong, Pit-Mann.

Buy Metric Methods of Finsler Spaces and in the Foundations of Geometry (Annals of Mathematics Studies) on FREE SHIPPING on qualified ordersCited by: The treatment of metric spaces (Finsler spaces) by the methods of differential geometry involves a lot of geometric objects (tensors, objects of connection etc.), the geometrical background of.

Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) (Annals of Mathematics Studies) Mar 2, by Herbert Busemann $ The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry.

(AM-8), will be forthcoming. Read more. Other Formats: Paperback. Metric spaces whose geodesics are isomorphic to the system of lines in (a convex domain of) the aﬃne or projective space are named Desarguesian spaces by Buse-mann. They have been introduced in his book Metric Methods in Finsler Spaces and in the Foundations of Geometry [3] and the theory has been further developped.

Busemann: Metric Methods in Finsler Space and m the Foundations of Geometry, Princeton University Press, Princeton FINSLER GEOMETRY IN THE THEORY OF ELASTO-PLASTICITY ] 7 [9] B. Coleman and M. Gurtin: J. Chem. Phys. 47 (), [10]. Even in the just mentioned monographs and review papers a number of geometric and physical constructions and Finsler geometry methods were considered for both types of metric compatible or noncompatible d-connections in Finsler spaces, the most related to “standard physics” constructions were elaborated for the Cartan and canonical d.

In Finsler geometry, each point of a base manifold can be endowed with coordinates describing its position as well as a set of one or more vectors describing directions, for example. The associated metric tensor may generally depend on direction as well as position, and a number of connections emerge associated with various covariant derivatives involving affine and nonlinear coefficients.

Author of Metric methods in Finsler spaces and in the foundations of geometry, Projective geometry and projective metrics, Convex surfaces, The geometry of geodesics, Projective geometry and projective metrics, Convex surfaces, The geometry of geodesics, Geometry of Geodesics (Pure & Applied Mathematics).

Busemann, H., Metric Methods in Finsler Spaces and in the Foundations of Geometry’, Ann. of 8, Princeton, Google Scholar.The extensive work of H. BUSEMANN has opened up new avenues of approach to Finsler geometry which are independent of the methods of classical tensor analysis. In the latter sense, therefore, a full description of this approach does not fall within the scope of this treatise, although its fundamental l significance cannot be doubted.In Finsler geometry (especially when the metric is not quadratic), however, real and complex Finsler geometry are not as tightly related as that of Riemannian and Hermitian geometry.