riemanniangeometry导论erentiableintroduction几何 LectureNotesinMathematicsAnIntroductiontoRiemannianGeometrySigmundurGudmundsson(LundUniversity)(version1.283-8January2014)Thelatestversionofthisdocumentcanbefoundathttp://.matematik.lu.se/matematiklu/personal/sigma/1PrefaceTheselecturenotesgrewoutofanM.Sc.courseondiff...
Yu. D. Burago and V. A. Zalgaller, Introduction to Riemannian Geometry [in Russian], Nauka, Moscow (1994).Y. D. Burago and V. A. Zalgaller, "Introduction in Rie- mannian Geometry," St.-Petersburg, Nauka, 1994 (in Rus- sian).Wu H Shen C L,Yu Y L. Introduction to Riemannian ...
在一个流形上存在着许多联络(connection),这意味着我们有更苛刻的余地。在给流形配备一个黎曼度量(Riemannian metric)时,我们需要另外两个性质,使联络和度量很好地相互作用。这就是我们下一个定理的对象,称为黎曼几何基本定理(fundamental theorem of Riemannian geometry)。特别地,这两个额外属性确保了本章后面定义的...
We continue to discuss generalizing Euclidean Geometry in 3-dimension space and study points, lines, planes, polyhedra, spheres, distances, angles, surface areas, volumes. Note: Points, lines, planes, polyhedra, spheres can be classified as geometric shapes. Distances, angles, surface areas, volu...
This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the book covers the introductory ideas of Riemannian geometry, followed by a selection of more specialized topics. Also ...
“One interesting aspect of the book is the decision of which audience to target it towards. … Overall, this would make a very appropriate text for a graduate course, or a programme of individual study in Riemannian geometry, whether to give a thorough treatment of the fundamentals, or to ...
作者:Luther Pfahler Eisenhart 出版社:Dover Publication 副标题:With Use of the Tensor Calculus 出版年:2017-7-6 页数:320 定价:USD 16.95 装帧:Paperback 丛书:Dover Books on Mathematics ISBN:9780486780597 豆瓣评分 评价人数不足 评价: 写笔记
Introduction to Geometry 作者:H. S. M. Coxeter 出版社:WILEY 出版年:1989-2-23 页数:496 定价:GBP 139.00 装帧:Paperback 丛书:Wiley Classics Library ISBN:9780471504580 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· This...
Geometry{DistanceLengthsAnglesAreasVolumesCurvature Riemannian Manifolds: Smooth manifolds equipped with Riemannian metrics (smoothly varying choices of inner products on tangent spaces), which allow one to measure geometrics quantities such as distances and angles. The Euclidean Plane Congruence: Two plane...
黎曼几何:现代简介(Riemannian Geometry: A Modern Introduction)简介: Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proof...