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Saturday, May 9, 2020 | History

2 edition of study of some problems in Finsler space found in the catalog.

study of some problems in Finsler space

H. D. Pande

study of some problems in Finsler space

by H. D. Pande

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  • 8 Currently reading

Published by Pustaksthan in Gorakhpur .
Written in English

    Subjects:
  • Finsler spaces.

  • Edition Notes

    Statementby H. D. Pande.
    Classifications
    LC ClassificationsQA649 .P25 1974
    The Physical Object
    Paginationvi, 92 p. ;
    Number of Pages92
    ID Numbers
    Open LibraryOL5176517M
    LC Control Number74902746

    of Lagrangian geometries we discuss in this book. Within these geometries, there are some particular aspects we want to emphasize: 1) One can build the geometry of a Lagrange space from the principles of Analytical Mechanics. 2) The geometry of a Finsler space is a particular form of the Lagrange. Some problems on Finsler geometry. To appear in "Handbook of Differential Geometry". Vol II ; This is an unorthodox survey of Finsler geometry that stresses what is ignored and much as what is known. Volumes in normed and Finsler spaces: introduction and update. To appear in "Oberwolfach Reports" Vol. 1, No. 4 (), 3pp.

    Abstract. We study the different types of Finsler space with -metrics which have nonholonomic frames as an application for classical mechanics and dynamics in physics using gauge transformation which helps to derive unified field r, we set up the application of Finsler geometry to geometrize the electromagnetic field completely. The first section (numbered 2.), concerning Riemann's p.o.s., will use more recent mathematics (Finsler geometry) in order to clarify some technical problems. Riemann's habilitation memoir is full of such problems –some of which are still puzzling us today–, and contains only a .

    Differential geometry From Wikipedia, the free encyclopedia Differential geometry is a mathematical discipline using the techniques of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry. The theory of plane and space curves and of surfaces in the three-dimensional Euclidean space formed. Results on Berwald space and Douglas space of second kind With (, beta)-metrics, projectively flat Finsler space with special metrics, Finsler hypersurface with such a metrics can also be seen. This book will help the young researchers those who are willing to work on these concepts. Seller Inventory # KNV


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Study of some problems in Finsler space by H. D. Pande Download PDF EPUB FB2

Additional Physical Format: Online version: Pande, H.D. Study of some problems in Finsler space. Gorakhpur: Pustaksthan, (OCoLC) Document Type.

A Study of Some Problems in Finsler Space. by H. Pande. Format Book Published Gorakhpur: Pustaksthan, Edition 1st ed Language English Description vi, 92 p.

; 23 cm. Notes. Originally presented as the author's thesis, University of Gorakhpur, Bibliography: [76] Local Notes. In this chapter, we study the symmetry of Finsler spaces. Section is devoted to studying the geometric properties of locally affine symmetric and globally affine symmetric Berwald spaces.

Chapter 1 Some problems on Finsler geometry. we construct all Finsler metrics on projective space such that hyperplanes are area-minimizing and extend the theory of Crofton densities developed Author: Juan Carlos Alvarez Paiva.

This invaluable book presents some advanced work done by the author in Finsler and Lagrange Geometry such as the theory of hyper surfaces with a beta change of Finsler metric, Cartan spaces with Generalized (,)-metric admitting h-metrical addition to above topics, four dimensional Finsler space with constant unified main.

Books on Finsler Geometry and. its Applications. Cartan, A study of some problems in Finsler space, Pustaksthan, Buxipur, Gorakhpur, India, M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, Japan A.

Bejancu, Finsler geometry and applications, Ellis Horwood Limited. The study of volumes and areas on normed and Finsler spaces is a relatively new eld that comprises and uni es large domains of convexity, geometric to-mography, and integral geometry.

It opens many classical unsolved problems in these elds to powerful techniques in global di erential geometry, and suggests. Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems.

This book contains a series of new results obtained by Author: Shaoqiang Deng. ag and Ricci curvatures in Finsler geometry, highlighting recent developments.

(The ag curvature is a natural extension of the Riemannian sectional curvature to Finsler manifolds.) Of particular interest are the Einstein metrics, constant Ricci curvature metrics and, as. This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study of this rapidly developing field.

Finsler geometry is named after Paul Finsler who studied it in his doc-toral thesis in Presently Finsler geometry has found an abundance of applications in both physics and practical applications [KT03, AIM94, Ing96, DC01].

The present presentation follows [She01b, She01a]. Let V be a real finite dimensional vector space, and let feig be. In this chapter, we study the symmetry of Finsler spaces. Section is devoted to studying the geometric properties of locally affine symmetric and globally affine symmetric Berwald spaces.

In Sect. we prove that any globally symmetric Finsler space must be a Berwald space. Then in Sect. we present a sufficient and necessary condition for a coset space to have invariant non-Riemannian Finsler metrics.

In Sect. we study homogeneous Finsler spaces of negative curvature and prove that every homogeneous Finsler space with nonpositive flag curvature and negative Ricci scalar must be simply connected.

Foundations of Finsler Geometry and Special Finsler Spaces [Makoto Matsumoto] on *FREE* shipping on qualifying offers. Chapter I Linear Connectons Chapter II Finsler Connections Chapter III Typical Finsler Connections Chapter IV Differential Geometory Of Tangent Bundles Chapter V Special Finsler Spaces Chapter VI Theory Of Transformations Of Finsler Spaces Chapter VII Parallel.

Finsler geometry is nota generalization of Riemannian geometry. It is better described as Riemannian geometry without the quadratic re-striction (2). A special case in point is the inter-esting paper [11].

They studied the Kobayashi metric of the domain bounded by an. This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations.

"This book offers the most modern treatment of the topic " EMS : $ the FINSLER package [2] (included with [1]) has some problems: the wrong calculations of the hv-curvature components of Cartan connection and the non-ability of computing some curvature tensors in dimensions different from four.

Moreover, it computes some geometric objects in a non-simplified form. Solution method. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read.

Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

study the structure of space–time and gravitation, and to analyze space experiments [8]. Such a modification of GR has found some interest among theorists. Finsler space–times have been discussed in [9] showing that a deformation of very special relativity, that produces a curved space–time with a cosmological constant.

"Finsler geometry is the most general among those geometries which satisfy certain highly natural conditions. In the last fifty years many papers and more books appeared on Finsler geometry. So it became difficult to obtain a good overlook on the subject.

The present Handbook aims to fill this gap. The authors wrote well understandable Format: Hardcover. Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century.C.T.J.

Dodson 3 (ii) F = α2/β, the Kropina metric, where α2 = a ij(x)yiyj is a Riemannian metric, and β = b i(x)yi is a non-zero differential 1-form on M. A Randers Landsberg space of dimension two is a Berwald space; a Kropina space of dimension two with b2 = 0 is a Landsberg space, then it is a Berwald space (where b2 = a rs(x)brbs and a rs is the associated Riemannian metric tensor) [34].Hi all, I’m a physicist, and work with material science.

I have been looking into anisotropy for some years now, and it’s influence on the material behaviour. I has a great potential for engineering purposes. Some time ago a colleague told me she had heard about Finsler geometry as a tool to study anisotropy.