Cover of: Finsler metrics-- a global approach | Marco Abate

Finsler metrics-- a global approach

with applications to geometric function theory
  • 180 Pages
  • 3.29 MB
  • 4708 Downloads
  • English
by
Springer-Verlag , Berlin, New York
Finsler spaces., Complex manif
StatementMarco Abate, Giorgio Patrizio.
SeriesLecture notes in mathematics ;, 1591, Lecture notes in mathematics (Springer-Verlag) ;, 1591.
ContributionsPatrizio, Giorgio.
Classifications
LC ClassificationsQA3 .L28 no. 1591, QA689 .L28 no. 1591
The Physical Object
Paginationix, 180p. :
ID Numbers
Open LibraryOL1109607M
ISBN 10354058465X
LC Control Number94035003

Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics.

After reviewing real Finsler geometry stressing global results, complex Finsler geometry is. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics.

After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing. : Finsler Metrics-- A Global Approach: With Applications to Geometric Theory (Lecture Notes in Mathematics) (): Abate, Marco, Patrizio, Giorgio: BooksCited by: Definition.

A Finsler manifold is a differentiable manifold M together with a Finsler metric, which is a continuous nonnegative function F:TM→[0,+∞) defined on the tangent bundle so that for each point x of M. F(v + w) ≤ F(v) + F(w) for every two vectors v,w tangent to M at x (subadditivity).; F(λv) = λF(v) for all λ ≥ 0 (but not necessarily for λ.

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Get this from a library. Finsler metrics-- a global approach: with applications to geometric function theory. [Marco Abate; Giorgio Patrizio]. Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory by Marco Abate, Giorgio Patrizio starting at $ Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory has 1 available editions to buy at Half Price Books Marketplace.

Find helpful customer reviews and review ratings for Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (Lecture Notes in Mathematics) at Read honest and unbiased product reviews from our users.4/5(1).

"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences.

Cite this chapter as: Abate M., Patrizio G. () Real Finsler geometry. In: Finsler Metrics—A Global Approach. Lecture Notes in Mathematics, vol Author: Marco Abate, Giorgio Patrizio. Two-dimensional Finsler metrics with constant flag curvature.

Ps, Pdf, Manuscripta Mathematica (), no.3, (with Xinyue Chen) A comparison theorem in projective geometry. Ps, Pdf Annals of Global Analysis and Geometry. 23(). Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics.

After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kählerianity Author: Marco Abate and Giorgio Patrizio. "Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics - Randers metrics, which are defined as the sum of.

In this paper we describe an approach to complex Finsler metrics suitable to deal with global questions, and stressing the similarities between hermitian and complex Finsler metrics.

Description Finsler metrics-- a global approach FB2

Finsler Metrics – A Global Approach DESIGN AND VERIFICATION OF A DYNAMIC EXPERIMENTAL CAMPAIGN ON ANCHORING SYSTEMS THROUGH MACRO AND MICRO NUMERICAL MODELS References [ edit ]Alma mater: Scuola Normale Superiore di Pisa.

suggested by our global approach. In the second chapter we study the geometry of complex Finsler metrics. After having adapted the general deflnitions of chapter 1 to the complex setting, we in-troduce (following Kobayashi [K]) the Chern-Finsler connection, which is our main tool.

the projective plane extends to Finsler metrics, and the Finslerian extension we have attempted to provide students and researchers in Finsler and global di erential geometry with a clear and concise introduction to the A much more visual approach will be given after we review the duality of normed Size: KB.

Discover Book Depository's huge selection of Marco Abate books online. Free delivery worldwide on over 20 million titles. FINSLER GEODESICS, PERIODIC REEB ORBITS, AND OPEN BOOKS MAX DORNER, HANSJ¨ ORG GEIGES, AND KAI ZEHMISCH¨ book, i.e.

a 1-form satisfying α ∧ (dα)n > 0, is said to be adapted if α induces a Finsler Metrics – A Global Approach, Lecture Notes in Math-ematics (Springer-Verlag, Berlin, ).Author: Max Dörner, Hansjörg Geiges, Kai Zehmisch.

Antonelli, R. Ingarden and M.

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Matsumoto, The theory of sprays and Finsler spaces with applications in physics and biology, Kluwer Academic Publishers, M Abate and G. Patrizio, Finsler metrics-a global approach, with applications to geometric function theory, Springer-Verlag, Berlin Heidelberg, In this paper, we present two kinds of total Chern forms c (E, G) and 풞 (E, G) as well as a total Segre form s (E, G) of a holomorphic Finsler vector bundle π: (E, G) → M expressed by the Finsler metric G, which answers a question of Faran [The equivalence problem for complex Finsler Hamiltonians, in Finsler Geometry, Contemporary Mathematics, Vol.

(American Cited by:   In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra§ov, Romania (), Seattle, USA (), Edmonton, Canada (), besides the Seminars that periodically are held in Japan and Romania. All these meetings produced Author: Gheorghe Munteanu.

Shop the latest titles by John R LaMarsh at Alibris including hardcovers, paperbacks, 1st editions, and audiobooks from thousands of sellers worldwide. With one of the largest book inventories in the world, find the book you are looking for.

To help, we provided some of our favorites. Finsler Metrics - A Global Approach: With. Using Cherns method of transgression and the currents, we establish a Gauss-Bonnet-Chern theorem for general closed complex Finsler manifolds $(M,F)$.

This result extends the classical Gauss-Bonnet-Chern theorem for Hermitian manifolds. Furthermore, a simplified version of the Gauss-Bonnet-Chern theorem is obtained in the case of complex Berwald $1$: Wei Zhao.

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 of regular metric measure spaces and Gromov's Hausdorff convergence theory.

Contents: Finsler Spaces; Finsler m Spaces. “If you don’t collect any metrics, you’re flying blind. If you collect and focus on too many, they may be obstructing your field of view.” ― Scott M.

Graffius, Agile Scrum: Your Quick Start Guide with Step-by-Step Instructions. This paper is concerned with the problem of determining whether a projective-equivalence class of sprays is the geodesic class of a Finsler function.

We address both the local and the global aspects of this problem. We present our results entirely in terms of a multiplier, that is, a type (0, 2) tensor field along the tangent bundle projection Cited by: Int J Math,26(9): Article ID:16pp [15] Zhu H M.

A class of Finsler metrics of scalar flag curvature. Diff Geom Appl,– a 1-form which is perpendicular to β. ξi:= ξi(b 2), i = 1, 2 and ξ1+ξ2b 2 = 1 2b2.

No.2 H.M. Zhu:ON A CLASS OF DOUGLAS FINSLER METRICS Proof Assume that case 1 : Hongmei Zhu. The essential role played by Finsler metrics in complex manifold theory, to-gether with the resolution of the Kobayashi conjecture and a special case of the Green–Griffiths conjecture.

The significance of the flag, Ricci, and S-curvatures of Finsler metrics, as well as the Sphere Theorem for nonreversible Finsler structures.

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds.

In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian : World Scientific Publishing Company.

A Global Approach to Finsler Geometry Adopting the pullback formalism, the present monograph provides a Global presentation of the foundations of Finsler geometry. It deals mainly with the following items: 1.

Theory of Finsler connections, 2. Special Finsler spaces, 3. Changes (conformal, projective, ) in Finsler geometry. Metric Based Approach for Requirements Gathering and Testing. but they also open the door to effective use of metrics in tracing, characterizing and assessing the requirements from a testing perspective.

– Metric collection, with a combination of tool based approach and other methods, is cheaper, faster and more reliable. Approach: 1.Other Book for download: Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (Lecture Notes in Mathematics / Scuola Normale Superiore, Pisa) Free Ebook Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach Book Download Math Word Problems Pdf Download.InB Riemann introduced the notion of curvature for spaces with a family of inner products.

There was no significant progress in the general case untilwhen P Finsler studied the variation problem in regular metric spaces. AroundL Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature .