购物车 申请加入邮件组 English
高级检索 图表检索
Handbook of Geometric Analysis (Vol. Ⅲ    作 者：季理真 等　　 ISBN：978-7-04-028884-1　 出版时间：2010-04-12
    • Naichung Conan Leung
    • 1 Introduction
    • 2 Topology of manifolds.
    • 2.1 Cohomology and geometry of differential forms
    • 2.2 Hodge theorem
    • 2.3 Witten-Morse theory
    • 2.4 Vector bundles and gauge theory
    • 3 Riemannian geometry.
    • 3.1 Torsion and Levi-Civita connections
    • 3.2 Classification of Riemannian holonomy groups
    • 3.3 Riemannian curvature tensors
    • 3.4 Flat tori
    • 3.5 Einstein metrics
    • 3.6 Minimal submanifolds.
    • 3.7 Harmonic maps
    • 4 Oriented four manifolds
    • 4.1 Gauge theory in dimension four
    • 4.2 Riemannian geometry in dimension four.
    • 5 K¨ahler geometry
    • 5.1 K¨ahler geometry — complex aspects
    • 5.2 K¨ahler geometry — Riemannian aspects
    • 5.3 K¨ahler geometry — symplectic aspects
    • 5.4 Gromov-Witten theory.
    • 6 Calabi-Yau geometry.
    • 6.1 Calabi-Yau manifolds
    • 6.2 Special Lagrangian geometry.
    • 6.3 Mirror symmetry
    • 6.4 K3 surfaces
    • 7 Calabi-Yau 3-folds
    • 7.1 Moduli of CY threefolds
    • 7.2 Curves and surfaces in Calabi-Yau threefolds
    • 7.3 Donaldson-Thomas bundles over Calabi-Yau threefolds
    • 7.4 Special Lagrangian submanifolds in CY3
    • 7.5 Mirror symmetry for Calabi-Yau threefolds.
    • 8 G2-geometry.
    • 8.1 G2-manifolds
    • 8.2 Moduli of G2-manifolds
    • 8.3 (Co-)associative geometry.
    • 8.4 G2-Donaldson-Thomas bundles
    • 8.5 G2-dualities, trialities and M-theory
    • 9 Geometry of vector cross products
    • 9.1 VCP manifolds
    • 9.2 Instantons and branes
    • 9.3 Symplectic geometry on higher dimensional knot spaces
    • 9.4 C-VCP geometry
    • 9.5 Hyperk¨ahler geometry on isotropic knot spaces of CY
    • 10 Geometry over normed division algebras
    • 10.1 Manifolds over normed algebras
    • 10.2 Gauge theory over (special) A-manifolds
    • 10.3 A-submanifolds and (special) Lagrangian submanifolds
    • 11 Quaternion geometry
    • 11.1 Hyperk¨ahler geometry
    • 11.2 Quaternionic-K¨ahler geometry
    • 12 Conformal geometry
    • 13 Geometry of Riemannian symmetric spaces
    • 13.1 Riemannian symmetric spaces
    • 13.2 Jordan algebras and magic square.
    • 13.3 Hermitian and quaternionic symmetric spaces
    • 14 Conclusions.
    • References.
Geometric Structures on Riemannian Manifolds
Book Metrics 引用导出
   点击： 次 下载： 次
相关资源
相关词条