Differential Geometry in the Large
Herausgeber: Crowley, Diarmuid; Nikolayevsky, Yuri; Tuschmann, Wilderich; Leistner, Thomas; Dearricott, Owen
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Differential Geometry in the Large
Herausgeber: Crowley, Diarmuid; Nikolayevsky, Yuri; Tuschmann, Wilderich; Leistner, Thomas; Dearricott, Owen
- Broschiertes Buch
A comprehensive tour across differential geometry, geometric analysis and differential topology, this graduate-level text touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and KÃ Â hler and Sasaki geometry. A joy to the expert and novice alike.
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A comprehensive tour across differential geometry, geometric analysis and differential topology, this graduate-level text touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and KÃ Â hler and Sasaki geometry. A joy to the expert and novice alike.
Produktdetails
- Produktdetails
- London Mathematical Society Lecture Note Series
- Verlag: Cambridge University Press
- Seitenzahl: 398
- Erscheinungstermin: 22. Oktober 2020
- Englisch
- Abmessung: 154mm x 227mm x 25mm
- Gewicht: 580g
- ISBN-13: 9781108812818
- ISBN-10: 1108812813
- Artikelnr.: 60064127
- London Mathematical Society Lecture Note Series
- Verlag: Cambridge University Press
- Seitenzahl: 398
- Erscheinungstermin: 22. Oktober 2020
- Englisch
- Abmessung: 154mm x 227mm x 25mm
- Gewicht: 580g
- ISBN-13: 9781108812818
- ISBN-10: 1108812813
- Artikelnr.: 60064127
Introduction Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky,
Thomas Leistner and Diarmuid Crowley; Part I. Geometric Evolution Equations
and Curvature Flow: 1. Real geometric invariant theory Christoph Böhm and
Ramiro A. Lafuente; 2. Convex ancient solutions to mean curvature flow
Theodora Bourni, Mat Langford and Giuseppe Tinaglia; 3. Negatively curved
three-manifolds, hyperbolic metrics, isometric embeddings in Minkowski
space and the cross curvature flow Paul Bryan, Mohammad N. Ivaki and Julian
Scheuer; 4. A mean curvature flow for conformally compact manifolds A. Rod
Gover and Valentina-Mira Wheeler; 5. A survey on the Ricci flow on singular
spaces Klaus Kröncke and Boris Vertman; Part II. Structures on Manifolds
and Mathematical Physics: 6. Some open problems in Sasaki geometry Charles
P. Boyer, Hongnian Huang, Eveline Legendre and Christina W.
Tønnesen-Friedman; 7. The prescribed Ricci curvature problem for
homogeneous metrics Timothy Buttsworth and Artem Pulemotov; 8. Singular
Yamabe and Obata problems A. Rod Gover and Andrew K. Waldron; 9. Einstein
metrics, harmonic forms and conformally Kähler geometry Claude LeBrun; 10.
Construction of the supersymmetric path integral: a survey Matthias
Ludewig; 11. Tight models of de-Rham algebras of highly connected manifolds
Lorenz Schwachhöfer; Part III. Recent Developments in Non-Negative
Sectional Curvature: 12. Fake lens spaces and non-negative sectional
curvature Sebastian Goette, Martin Kerin and Krishnan Shankar; 13.
Collapsed three-dimensional Alexandrov spaces: a brief survey Fernando
Galaz-García, Luis Guijarro and Jesús Núñez-Zimbrón; 14. Pseudo-angle
systems and the simplicial Gauss-Bonnet-Chern theorem Stephan Klaus; 15.
Aspects and examples on quantitative stratification with lower curvature
bounds Nan Li; 16. Universal covers of Ricci limit and RCD spaces Jiayin
Pan and Guofang Wei; 17. Local and global homogeneity for manifolds of
positive curvature Joseph A. Wolf.
Thomas Leistner and Diarmuid Crowley; Part I. Geometric Evolution Equations
and Curvature Flow: 1. Real geometric invariant theory Christoph Böhm and
Ramiro A. Lafuente; 2. Convex ancient solutions to mean curvature flow
Theodora Bourni, Mat Langford and Giuseppe Tinaglia; 3. Negatively curved
three-manifolds, hyperbolic metrics, isometric embeddings in Minkowski
space and the cross curvature flow Paul Bryan, Mohammad N. Ivaki and Julian
Scheuer; 4. A mean curvature flow for conformally compact manifolds A. Rod
Gover and Valentina-Mira Wheeler; 5. A survey on the Ricci flow on singular
spaces Klaus Kröncke and Boris Vertman; Part II. Structures on Manifolds
and Mathematical Physics: 6. Some open problems in Sasaki geometry Charles
P. Boyer, Hongnian Huang, Eveline Legendre and Christina W.
Tønnesen-Friedman; 7. The prescribed Ricci curvature problem for
homogeneous metrics Timothy Buttsworth and Artem Pulemotov; 8. Singular
Yamabe and Obata problems A. Rod Gover and Andrew K. Waldron; 9. Einstein
metrics, harmonic forms and conformally Kähler geometry Claude LeBrun; 10.
Construction of the supersymmetric path integral: a survey Matthias
Ludewig; 11. Tight models of de-Rham algebras of highly connected manifolds
Lorenz Schwachhöfer; Part III. Recent Developments in Non-Negative
Sectional Curvature: 12. Fake lens spaces and non-negative sectional
curvature Sebastian Goette, Martin Kerin and Krishnan Shankar; 13.
Collapsed three-dimensional Alexandrov spaces: a brief survey Fernando
Galaz-García, Luis Guijarro and Jesús Núñez-Zimbrón; 14. Pseudo-angle
systems and the simplicial Gauss-Bonnet-Chern theorem Stephan Klaus; 15.
Aspects and examples on quantitative stratification with lower curvature
bounds Nan Li; 16. Universal covers of Ricci limit and RCD spaces Jiayin
Pan and Guofang Wei; 17. Local and global homogeneity for manifolds of
positive curvature Joseph A. Wolf.
Introduction Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky,
Thomas Leistner and Diarmuid Crowley; Part I. Geometric Evolution Equations
and Curvature Flow: 1. Real geometric invariant theory Christoph Böhm and
Ramiro A. Lafuente; 2. Convex ancient solutions to mean curvature flow
Theodora Bourni, Mat Langford and Giuseppe Tinaglia; 3. Negatively curved
three-manifolds, hyperbolic metrics, isometric embeddings in Minkowski
space and the cross curvature flow Paul Bryan, Mohammad N. Ivaki and Julian
Scheuer; 4. A mean curvature flow for conformally compact manifolds A. Rod
Gover and Valentina-Mira Wheeler; 5. A survey on the Ricci flow on singular
spaces Klaus Kröncke and Boris Vertman; Part II. Structures on Manifolds
and Mathematical Physics: 6. Some open problems in Sasaki geometry Charles
P. Boyer, Hongnian Huang, Eveline Legendre and Christina W.
Tønnesen-Friedman; 7. The prescribed Ricci curvature problem for
homogeneous metrics Timothy Buttsworth and Artem Pulemotov; 8. Singular
Yamabe and Obata problems A. Rod Gover and Andrew K. Waldron; 9. Einstein
metrics, harmonic forms and conformally Kähler geometry Claude LeBrun; 10.
Construction of the supersymmetric path integral: a survey Matthias
Ludewig; 11. Tight models of de-Rham algebras of highly connected manifolds
Lorenz Schwachhöfer; Part III. Recent Developments in Non-Negative
Sectional Curvature: 12. Fake lens spaces and non-negative sectional
curvature Sebastian Goette, Martin Kerin and Krishnan Shankar; 13.
Collapsed three-dimensional Alexandrov spaces: a brief survey Fernando
Galaz-García, Luis Guijarro and Jesús Núñez-Zimbrón; 14. Pseudo-angle
systems and the simplicial Gauss-Bonnet-Chern theorem Stephan Klaus; 15.
Aspects and examples on quantitative stratification with lower curvature
bounds Nan Li; 16. Universal covers of Ricci limit and RCD spaces Jiayin
Pan and Guofang Wei; 17. Local and global homogeneity for manifolds of
positive curvature Joseph A. Wolf.
Thomas Leistner and Diarmuid Crowley; Part I. Geometric Evolution Equations
and Curvature Flow: 1. Real geometric invariant theory Christoph Böhm and
Ramiro A. Lafuente; 2. Convex ancient solutions to mean curvature flow
Theodora Bourni, Mat Langford and Giuseppe Tinaglia; 3. Negatively curved
three-manifolds, hyperbolic metrics, isometric embeddings in Minkowski
space and the cross curvature flow Paul Bryan, Mohammad N. Ivaki and Julian
Scheuer; 4. A mean curvature flow for conformally compact manifolds A. Rod
Gover and Valentina-Mira Wheeler; 5. A survey on the Ricci flow on singular
spaces Klaus Kröncke and Boris Vertman; Part II. Structures on Manifolds
and Mathematical Physics: 6. Some open problems in Sasaki geometry Charles
P. Boyer, Hongnian Huang, Eveline Legendre and Christina W.
Tønnesen-Friedman; 7. The prescribed Ricci curvature problem for
homogeneous metrics Timothy Buttsworth and Artem Pulemotov; 8. Singular
Yamabe and Obata problems A. Rod Gover and Andrew K. Waldron; 9. Einstein
metrics, harmonic forms and conformally Kähler geometry Claude LeBrun; 10.
Construction of the supersymmetric path integral: a survey Matthias
Ludewig; 11. Tight models of de-Rham algebras of highly connected manifolds
Lorenz Schwachhöfer; Part III. Recent Developments in Non-Negative
Sectional Curvature: 12. Fake lens spaces and non-negative sectional
curvature Sebastian Goette, Martin Kerin and Krishnan Shankar; 13.
Collapsed three-dimensional Alexandrov spaces: a brief survey Fernando
Galaz-García, Luis Guijarro and Jesús Núñez-Zimbrón; 14. Pseudo-angle
systems and the simplicial Gauss-Bonnet-Chern theorem Stephan Klaus; 15.
Aspects and examples on quantitative stratification with lower curvature
bounds Nan Li; 16. Universal covers of Ricci limit and RCD spaces Jiayin
Pan and Guofang Wei; 17. Local and global homogeneity for manifolds of
positive curvature Joseph A. Wolf.