riemanniangeometry导论erentiableintroduction几何 LectureNotesinMathematicsAnIntroductiontoRiemannianGeometrySigmundurGudmundsson(LundUniversity)(version1.283-8January2014)Thelatestversionofthisdocumentcanbefoundathttp://.matematik.lu.se/matematiklu/personal/sigma/1PrefaceTheselecturenotesgrewoutofanM.Sc.courseondiff...
An Introduction to Riemannian Geometry. Wu H,Shen C L,Yu Y L. . 1989L. Godinho and J. Nat´ario, An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity, Springer, 2014.L. Godinho, J. Nat´ario, An Introduction to Riemannian Geometry: With Applications to...
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 写书评 加入购书单 分享到 + 加入购书单...
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...
without which one cannot claim to be doing Riemannian geometry. It then introduces the Riemann curvature tensor, and quickly moves on to submanifold theory in order to give the curvature tensor a concrete quantitative interpretation. From then on, all efforts are bent toward proving the four most...
44 国际基础科学大会-Applications of additive combinatorics to problems in fractal geometry 59:01 国际基础科学大会-Defects in Quantum Field Theory and Applications-Zohar Komargodski 50:48 国际基础科学大会-On Langlands duality for the affine Hecke category-Roman Bezrukavnikov 51:10 国际基础科学大会-...
44 国际基础科学大会-Applications of additive combinatorics to problems in fractal geometry 59:01 国际基础科学大会-Defects in Quantum Field Theory and Applications-Zohar Komargodski 50:48 国际基础科学大会-On Langlands duality for the affine Hecke category-Roman Bezrukavnikov 51:10 国际基础科学大会-...
Riemannian Manifolds: An Introduction to Curvature 来自 ResearchGate 喜欢 0 阅读量: 183 作者: J. M. Lee 摘要: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more ...
This brought to this subject such notions as Lyapunov exponents, invariant manifolds, bifurcations, etc., which had to be adapted to the random diffeomorphisms setup. Moreover, an introduction of invariant measures of random transformations enables us to speak about such notions as the (relative) ...
This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics.