Ebook: Global Differential Geometry

This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry.
The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

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This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry.
The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

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This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry.
The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Holonomy Groups and Algebras....Pages 3-37
Entropies, Volumes, and Einstein Metrics....Pages 39-54
Kac-Moody Geometry....Pages 55-92
Collapsing and Almost Nonnegative Curvature....Pages 93-106
Algebraic Integral Geometry....Pages 107-145
Metric Properties of Euclidean Buildings....Pages 147-159
Front Matter....Pages 161-161
Holonomy Groups of Lorentzian Manifolds: A Status Report....Pages 163-200
Some Curvature Problems in Semi-Riemannian Geometry....Pages 201-230
Mean Curvature Flow in Higher Codimension: Introduction and Survey....Pages 231-274
Positive Scalar Curvature, K-area and Essentialness....Pages 275-302
Differential K-Theory: A Survey....Pages 303-357
Classical and Quantum Fields on Lorentzian Manifolds....Pages 359-400
Computations and Applications of ? Invariants....Pages 401-433
Front Matter....Pages 435-435
Rabinowitz Floer Homology: A Survey....Pages 437-461
Contact Structures and Geometric Topology....Pages 463-489
On Product Structures in Floer Homology of Cotangent Bundles....Pages 491-521

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This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry.
The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Holonomy Groups and Algebras....Pages 3-37
Entropies, Volumes, and Einstein Metrics....Pages 39-54
Kac-Moody Geometry....Pages 55-92
Collapsing and Almost Nonnegative Curvature....Pages 93-106
Algebraic Integral Geometry....Pages 107-145
Metric Properties of Euclidean Buildings....Pages 147-159
Front Matter....Pages 161-161
Holonomy Groups of Lorentzian Manifolds: A Status Report....Pages 163-200
Some Curvature Problems in Semi-Riemannian Geometry....Pages 201-230
Mean Curvature Flow in Higher Codimension: Introduction and Survey....Pages 231-274
Positive Scalar Curvature, K-area and Essentialness....Pages 275-302
Differential K-Theory: A Survey....Pages 303-357
Classical and Quantum Fields on Lorentzian Manifolds....Pages 359-400
Computations and Applications of ? Invariants....Pages 401-433
Front Matter....Pages 435-435
Rabinowitz Floer Homology: A Survey....Pages 437-461
Contact Structures and Geometric Topology....Pages 463-489
On Product Structures in Floer Homology of Cotangent Bundles....Pages 491-521
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