Initiation to Global Finslerian Geometry (Volume 68) (North-Holland Mathematical Library, Volume 68) 🔍
Hassan Akbar-Zadeh Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne Paris. Elsevier Science & Technology Books, North-Holland Mathematical Library, North-Holland mathematical library 68, 1, 2006
英语 [en] · DJVU · 0.6MB · 2006 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle. Key features - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle. - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle.
备用文件名
lgli/Akbar Z.-H. Initiation to global Finslerian geometry (Elsevier, 2006)(ISBN 0444521062).pdf-new(O)(265s).djvu
备用文件名
lgrsnf/Akbar Z.-H. Initiation to global Finslerian geometry (Elsevier, 2006)(ISBN 0444521062).pdf-new(O)(265s).djvu
备用文件名
zlib/Mathematics/Hassan Akbar-Zadeh Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne Paris./Initiation to global Finslerian geometry_537969.djvu
备选标题
Initiation of global Finslerian geometry
备选作者
Akbar-Zadeh Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne Paris., Hassan
备用出版商
Wolters Kluwer Legal & Regulatory U.S.
备用出版商
Woodhead Publishing Ltd
备用出版商
John Murray Press
备用出版商
Aspen Publishers
备用出版商
Focal Press
备用版本
North-Holland mathematical library ;, v. 68, 1st ed., Amsterdam, Boston, Netherlands, 2006
备用版本
North-Holland mathematical library, v. 68, Burlington, 2006
备用版本
North Holland mathematical library, 1. ed, Amsterdam, 2006
备用版本
United Kingdom and Ireland, United Kingdom
备用版本
United States, United States of America
备用版本
Elsevier Ltd., Amsterdam, 2006
元数据中的注释
1
元数据中的注释
lg109764
元数据中的注释
{"container_title":"North-Holland Mathematical Library","edition":"1","isbns":["0080461700","0444521062","9780080461700","9780444521064"],"issns":["0924-6509"],"last_page":264,"publisher":"Elsevier","series":"North-Holland mathematical library 68"}
元数据中的注释
Includes bibliographical references and index.
备用描述
After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle.<p><br><br>Key features<p><br><br>- Theory of connections of vectors and directions on the unitary tangent fibre bundle. <br>- Complete list of Bianchi identities for a regular conection of directions. <br>- Geometry of generalized Einstein manifolds. <br>- Classification of Finslerian manifolds. <br>- Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle.<br><br>- Theory of connections of vectors and directions on the unitary tangent fibre bundle. <br>- Complete list of Bianchi identities for a regular conection of directions. <br>- Geometry of generalized Einstein manifolds. <br>- Classification of Finslerian manifolds. <br>- Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle.
备用描述
After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle. P Key featuresP - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular connection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle. - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle
备用描述
After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, this book gives a treatment of this geometry. It develops the basic notions and methods to reach the global problems in Finslerian Geometry
开源日期
2009-08-06
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