The Proceedings of the Sixth National Seminar on Finsler, Lagrange and Hamilton Spaces PDF Download
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Author: Atanasiu Gheorghe
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Book Description
Author: Atanasiu Gheorghe
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Book Description
Author: Gheorghe Atanasiu
Publisher:
ISBN:
Category : Finsler spaces
Languages : en
Pages : 168
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Book Description
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 284
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1280
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Book Description
Author: British Library. Document Supply Centre
Publisher:
ISBN:
Category : Congresses and conventions
Languages : en
Pages : 860
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Author: Shiing-Shen Chern
Publisher: World Scientific
ISBN: 9812383573
Category : Mathematics
Languages : en
Pages : 206
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Book Description
Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the natural sciences. Curvature is the central concept in Riemann-Finsler geometry. This invaluable textbook presents detailed discussions on important curvatures such the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with Finsler metrics with special curvature or geodesic properties, such as projectively flat Finsler metrics, Berwald metrics, Finsler metrics of scalar curvature or isotropic S-curvature, etc. Instructive examples are given in abundance, for further description of some important geometric concepts. The text includes the most recent results, although many of the problems discussed are classical. Graduate students and researchers in differential geometry.
Author: Ben Andrews
Publisher: Springer Science & Business Media
ISBN: 3642162851
Category : Mathematics
Languages : en
Pages : 306
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Book Description
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
Author: C. Udriste
Publisher: Springer Science & Business Media
ISBN: 9401141878
Category : Mathematics
Languages : en
Pages : 406
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Book Description
Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (Lorentz-Udri~te world-force law). In other words, we create a wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or Finsler-Jacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc.
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1264
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Book Description
Author: Stephen Boyd
Publisher: SIAM
ISBN: 9781611970777
Category : Mathematics
Languages : en
Pages : 203
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Book Description
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.
