(Ebook) Handbook of differential geometry 1st Edition by Franki JE Dillen, Leopold CA Verstraelen ISBN 9780444520524 044452052X

(Ebook) Handbook of differential geometry 1st Edition by Franki JE Dillen, Leopold CA Verstraelen ISBN 9780444520524 044452052X

(Ebook) Handbook of differential geometry 1st Edition by Franki JE Dillen, Leopold CA Verstraelen - Ebook PDF Instant Download/Delivery: 9780444520524 ,044452052X
Full download (Ebook) Handbook of differential geometry 1st Edition after payment

Product details:

ISBN 10: 044452052X
ISBN 13: 9780444520524
Author: Franki JE Dillen, Leopold CA Verstraelen

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).

All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas

(Ebook) Handbook of differential geometry 1st Edition Table of contents:

1. Some Problems on Finsler Geometry
2. Introduction
3. Preliminaries
4. Volume and area in Finsler spaces
5. Unit spheres in Minkowski spaces
6. Symplectic equivalence of Finsler manifolds
7. Around Hilbert's fourth problem
8. Closed geodesics
9. Differential invariants of Finsler surfaces
10. References
11. Foliations
12. Foreword
13. Definitions and examples
14. Transverse structures
15. Codimension one foliations
16. Gamma-structures
17. The leaf space
18. Characteristic classes
19. Basic global analysis
20. Deformation theory of foliations
21. Some other themes
22. References
23. Symplectic Geometry
24. Introduction
25. Symplectic manifolds
26. Lagrangian submanifolds
27. Complex structures
28. Symplectic geography
29. Hamiltonian geometry
30. Symplectic reduction
31. References
32. Metric Riemannian Geometry
33. Introduction
34. Sphere theorems
35. Finiteness theorems and Gromov-Hausdorff distance
36. Geodesic coordinate, injectivity radius, comparison theorems and sphere theorem
37. Packing and precompactness theorem
38. Construction of homeomorphism by isotopy theory
39. Harmonic coordinate and its application
40. Center of mass technique
41. Embedding Riemannian manifolds by distance function
42. Almost flat manifold
43. Collapsing Riemannian manifolds-I
44. Collapsing Riemannian manifolds-II
45. Collapsing Riemannian manifolds-III
46. Morse theory of distance function
47. Finiteness theorem by Morse theory
48. Soul theorem and splitting theorem
49. Alexandrov space-I
50. Alexandrov space-II
51. First Betti number and fundamental group
52. Hausdorff convergence of Einstein manifolds
53. Sphere theorem and L2 comparison theorem
54. Hausdorff convergence and Ricci curvature-I
55. Hausdorff convergence and Ricci curvature-II
56. References
57. Contact Geometry
58. Introduction
59. Contact manifolds
60. Contact structures on 3-manifolds
61. A guide to the literature
62. References
63. Complex Differential Geometry
64. Introduction
65. Complex manifolds
66. Almost complex structures
67. Dolbeault Lemma
68. Kaehler manifolds
69. Complex space forms
70. Laplace-Beltrami operator on a Hermitian manifold
71. Harmonic differential forms on Kaehler manifolds
72. Applications
73. Chern classes
74. Deformation of complex structures
75. References
76. Compendium on the Geometry of Lagrange Spaces
77. Introduction
78. Tangent bundle
79. Lagrange spaces
80. Finsler spaces
81. The geometry of T(k)M
82. Lagrange spaces of higher order
83. References
84. Certain Actual Topics on Modern Lorentzian Geometry
85. Preface
86. Some aspects on the topology of Lorentzian manifolds
87. Geodesics and completeness
88. Curvature of Lorentzian manifolds
89. The Bochner technique on Lorentzian manifolds

People also search for (Ebook) Handbook of differential geometry 1st Edition:

differential geometry textbook
    
differential geometry pdf
    
differential geometry a geometric introduction pdf
    
a course of differential geometry and topology pdf
    
basics of differential geometry

Tags: Franki JE Dillen, Leopold CA Verstraelen, differential geometry