5 edition of **Handbook of Finsler Geometry** found in the catalog.

- 126 Want to read
- 29 Currently reading

Published
**December 1, 2003** by Springer .

Written in English

- Geometry, Differential,
- Mathematics,
- Science/Mathematics,
- Geometry - Differential,
- Mathematics / Geometry / Differential,
- Geometry - General,
- Finsler spaces

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

Format | Hardcover |

Number of Pages | 1437 |

ID Numbers | |

Open Library | OL8370751M |

ISBN 10 | 1402015569 |

ISBN 10 | 9781402015564 |

We would like to bring together a cross section of the researchers working on different aspects of Finsler geometry. Starting from the basics. The necessary concepts and tools of advanced linear algebra over modulespoint set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Theoretical topics of the workshop tentatively include: Cartan spaces; classification of Berwald spaces; Finsler spaces of constant flag curvature; Finsler--Einstein metrics; Finslerian volumes and measures; geodesic flows; Kobayashi metrics; Lagrange spaces; metric geometry; projective invariants; rigidity theorems. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did and that the Pell equation was named erroneously after him.

Pell and learn of her work on biorthogonal systems; one will find not only H. The Christoffel symbolswhich are constructed from Handbook of Finsler Geometry book Finsler metric tensor by the same formula as in Riemannian geometry, do not obey the transformation law of the coefficients of a connection. Sturm as well as C. To book online visit this pageselect "Request a Reservation" choose the dates you would like to stay and enter the code MSRI this code is not case sensitive. The fundamental significance of the concept of the indicatrix is already evident from the fact that, because the Finsler metric is homogeneous, the indicatrix at uniquely determines the form of at this point. Geigescomplex manifolds, Kahler manifolds and harmonic differential forms by I.

The value of is interpreted as the length of the vector tangent at If a Finsler Handbook of Finsler Geometry book admits a coordinate system such that does not depend on thesethen it is called a Minkowski space. Nevertheless, the authors provide for more advanced readers as well by supplying them with adequate material, and the book may also serve as a reference. The Index - for example - contains not just the to names one would expect to find, but over 1, Reservations may be made by calling or directly on their website. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Read Count: A History of Mathematics by Florian Cajori Book Resume: Originally issued inthis popular Fifth Edition covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries.

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It satisfies the identity. The most immediate example of a Finsler Handbook of Finsler Geometry book function is the -th root of a form of order. Blaschke; J. Riesz as well as Handbook of Finsler Geometry book. Fuchs; A. These formulas are an immediate generalization of their Riemannian analogues, and follow from just the homogeneity condition.

Cannas da Silvametric Handbook of Finsler Geometry book geometry including Gromov-Hausdorff distance, collapsing Riemannian manifolds, Alexandrov spaces and Hausdorff convergence by K. Most proofs are elaborated in detail, which makes the book suitable for self-study.

Dealing with a diverse range of areas. In each tangent space the Finsler metric defines an -dimensional hypersurface where the are regarded as fixed and the as varyingcalled the indicatrix.

Thus, the homogeneity condition imposed on is a condition that the Finslerian definition of length is consistent with the particular centro-affine definition; the Finsler metric is needed to compare the lengths of non-collinear vectors. These include Finsler spaces of constant curvature, as well as applications of Finsler methods to industrial and medical sectors.

Picard; B. Riccati as well as J. Steklov, seldom mentioned at the time outside the Soviet literature. Basic manifold and bundle theories are treated concisely, carefully and apart from proofs in a self-contained manner. Main Handbook of differential geometry Handbook of differential geometry Franki J.

The volume therefore covers many important fields in differential geometry. Under these conditions the triple is called a Finsler space, and a Finsler metric. Grassmann as well as H. Read Count: A History of Mathematics by Florian Cajori Book Resume: Originally issued inthis popular Fifth Edition covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries.

Riesz; H. Within the last two years, several areas of Finsler geometry have experienced accelerated growth. To book online visit this pageselect "Request a Reservation" choose the dates you would like to stay and enter the code MSRI this code is not case sensitive. The pair are fixed and the are variable, is called the tangent Riemannian space at a Euclidean space in the case of Riemannian geometry ; the Riemannian curvature tensor of this space reduces to the expression.

The backbone of the book is the detailed and original exposition of tangent bundle geometry, Ehresmann connections and sprays. The authors emphasize the conceptual aspects, but carefully elaborate calculative aspects as well tensor derivations, graded derivations and covariant derivatives.

Theoretical topics of the workshop tentatively include: Cartan spaces; classification of Berwald spaces; Finsler spaces of constant flag curvature; Finsler--Einstein metrics; Finslerian volumes and measures; geodesic flows; Kobayashi metrics; Lagrange spaces; metric geometry; projective invariants; rigidity theorems.

The Christoffel symbolswhich are constructed from the Finsler metric tensor by the same formula as in Riemannian geometry, do not obey the transformation law of the coefficients of a connection.

Please do not accept their services.An brief introduction to Finsler geometry Matias Dahl July 12, Abstract This work contains a short introduction to Finsler geometry. Special em-phasis is put on the Legendre transformation that connects Finsler geometry with symplectic geometry.

Contents 1 Finsler geometry 3. The book “Handbook of Finsler geometry” has been included with a CD containing an elegant Maple package, FINSLER, for calculations in Finsler geometry.

Using this pack-age, an example concerning a Finsler generalization of Einstein’s vacuum ﬁeld equations was treated. In this example, the calculation of the components of the hv-curvature of.

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis”, dealing with modern developments .Abstract: The pdf "Handbook pdf Finsler geometry" has been included with a CD containing an elegant Maple package, FINSLER, for calculations in Finsler geometry.

Using this package, an example concerning a Finsler generalization of Einstein's vacuum field equations was treated. In this example, the calculation of the components of the hv-curvature of Cartan connection leads to wrong tjarrodbonta.com by: 9.Facts on file geometry handbook / Catherine A.

Gorini p. cm. Includes bibliographical references and index. ISBN 1. Geometry. I. Title: Geometry handbook.

II. Title. QAG67 —dc21 Facts On File books are available at special discounts when purchased in bulk.The book ebook of Finsler geometry” has ebook included with a CD containing an elegant Maple package, FINSLER, for calculations in Finsler geometry.

Using this package, an example concerning a Finsler generalization of Einstein’s vacuum field equations was treated. In this example, the calculation of the components of the hv-curvature of Cartan connection leads to wrong tjarrodbonta.com by: 9.