Dissertation > Excellent graduate degree dissertation topics show

Distance of GROMOV-HAUSDORFF tight convergence theorem of Riemannian manifolds

Author: LiangHong
Tutor: RongXiaoChun
School: Capital Normal University
Course: Basic mathematics
Keywords: Riemannian manifold C1,α metric convergence
CLC: O186.12
Type: Master's thesis
Year: 2009
Downloads: 30
Quote: 0
Read: Download Dissertation

Abstract


Abstract:This paper tries to give a detailed proof of this convergence theorem which appears in [1]:Let {（Min, gi）} be a sequence of Riemannian manifolds satisfying（Min,gi） （?） （X,d）. （{X,d） is a compact metric space) andthen for k∈N large ,there are diffeomorphisms:fl : Ml→Mk（l≥k） and there is a subsequence {（Mjn,gi）} of {（Min,gi）} such that the pull-back metric gi on M := Mk converge（in C1 norm） to a C1,α metric g on M .

Related Dissertations

  1. The Semilocal Convergence Properties of Super-Halley Method and Newton Method under Weak Conditions,O241.7
  2. Dilemma and Way Out of TV Media in Media Convergence Abstract,G206
  3. Fans Cultural Effects in Television Broadcasting,G223
  4. Feasibility Study on the Convergence of Community Education and Distance Education,G77
  5. The Discussed on the Zeros and Except Values of Complex Differences Functions,O174.5
  6. Research on the Improvements and Applications of Particle Swarm Optimization,TP18
  7. Convergence analysis of the regional energy consumption intensity,F206;F124
  8. Study on the Relationship between Industrial Structure Upgrading and Convergence Tendency of Financial Services Industry in the Central Region of China,F832.2
  9. Spectral Method for Solving Two Types of Delay Differential Equations,O241.8
  10. Research on Convergence of Regional Economic Growth Across Three Provinces in Northeast China,F127
  11. Compulsory Phase of the Basic Concepts of High School Chemistry Teaching and Study of the Convergence of Compulsory Education,G633.8
  12. Research on Modification and Application of Particle Swarm Optimization Algorithm Based on Control Methods,TP301.6
  13. TD-SCDMA and WLAN Network Convergence Technology Research,TN929.5
  14. Uniform Positioning Capabilities Engine Design and Implementation,TP311.52
  15. The Existence of Positive Solutions of a Class of Fourth-order Nonlinear Differential Equations,O175
  16. Strong Convergence Theorems for Variational Inequalities Problem and Some Relative Researches,O178
  17. Several Iterative methods and Strong Convergence Theorems for Equilibrium Problems,O177.2
  18. The Moral Education Connection between Universities and Middle Schools,G641
  19. Shanghai World Expo news content and mode of fusion research,G206
  20. Media convergence Perspective Development of network television,F49
  21. A new class of fuzzy convergence structure of,O159

CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry > Riemannian geometry
© 2012 www.DissertationTopic.Net  Mobile