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Differential Geometry: Geometry in Mathematical Physics and Related Topics

Edited by: Robert Greene
Available Formats:
Hardcover ISBN: 978-0-8218-1495-6
Product Code: PSPUM/54.2
List Price: $128.00 MAA Member Price:$115.20
AMS Member Price: $102.40 Electronic ISBN: 978-0-8218-9353-1 Product Code: PSPUM/54.2.E List Price:$120.00
MAA Member Price: $108.00 AMS Member Price:$96.00
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List Price: $192.00 MAA Member Price:$172.80
AMS Member Price: $153.60 Click above image for expanded view Differential Geometry: Geometry in Mathematical Physics and Related Topics Edited by: Robert Greene Available Formats:  Hardcover ISBN: 978-0-8218-1495-6 Product Code: PSPUM/54.2  List Price:$128.00 MAA Member Price: $115.20 AMS Member Price:$102.40
 Electronic ISBN: 978-0-8218-9353-1 Product Code: PSPUM/54.2.E
 List Price: $120.00 MAA Member Price:$108.00 AMS Member Price: $96.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$192.00 MAA Member Price: $172.80 AMS Member Price:$153.60
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 541993; 655 pp
MSC: Primary 32; 53; 58; 81; 83;
This item is also available as part of a set:

• Articles
• Malcolm Adams, Clint McCrory, Ted Shifrin and Robert Varley - Invariants of Gauss maps of theta divisors [ MR 1216524 ]
• Augustin Banyaga - On characteristics of hypersurfaces in symplectic manifolds [ MR 1216525 ]
• John K. Beem - Disprisoning and pseudoconvex manifolds [ MR 1216526 ]
• L. Bérard-Bergery and A. Ikemakhen - On the holonomy of Lorentzian manifolds [ MR 1216527 ]
• Jean-Pierre Bourguignon - Spinors, Dirac operators, and changes of metrics [ MR 1216528 ]
• Charles P. Boyer and Benjamin M. Mann - The hyper-Kähler geometry of the ADHM construction and quaternionic geometric invariant theory [ MR 1216529 ]
• Steven B. Bradlow - Nonabelian vortices and a new Yang-Mills-Higgs energy [ MR 1216530 ]
• Eugenio Calabi and Herman Gluck - What are the best almost-complex structures on the 6-sphere? [ MR 1216531 ]
• Luis A. Cordero, Marisa Fernández and Alfred Gray - The failure of complex and symplectic manifolds to be Kählerian [ MR 1216532 ]
• Kevin Corlette - Nonabelian Hodge theory [ MR 1216533 ]
• Xianzhe Dai - Geometric invariants and their adiabatic limits [ MR 1216534 ]
• Andrzej Derdziński - Geometry of elementary particles [ MR 1216535 ]
• Dennis DeTurck, Hubert Goldschmidt and Janet Talvacchia - Existence of connections with prescribed Yang-Mills currents [ MR 1216536 ]
• Lance D. Drager and Robert L. Foote - Vector bundles over homogeneous spaces and complete, locally symmetric spaces [ MR 1216537 ]
• Todd A. Drumm - Margulis space-times [ MR 1216538 ]
• D. Duncan and E. Ihrig - Incomplete flat homogeneous geometries [ MR 1216539 ]
• Paul E. Ehrlich and Gérard G. Emch - Geodesic and causal behavior of gravitational plane waves: astigmatic conjugacy [ MR 1216540 ]
• Joseph H. G. Fu - Curvature of singular spaces via the normal cycle [ MR 1216541 ]
• Ronald O. Fulp - The nonintegrable phase factor and gauge theory [ MR 1216542 ]
• Gregory J. Galloway - The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity [ MR 1216543 ]
• Paul Gauduchon - Weyl structures on self-dual conformal manifolds [ MR 1216544 ]
• James F. Glazebrook and Franz W. Kamber - Chiral anomalies and Dirac families in Riemannian foliations [ MR 1216545 ]
• Steven G. Harris - What is the shape of space in a spacetime? [ MR 1216546 ]
• Adam D. Helfer - The kinematics of the gravitational field [ MR 1216547 ]
• Sigurdur Helgason - Support theorems in integral geometry and their applications [ MR 1216548 ]
• Oussama Hijazi - Killing spinors and eigenvalues of the Dirac operator [ MR 1216549 ]
• Gary R. Jensen and Marco Rigoli - Einstein metrics on circle bundles [ MR 1216550 ]
• Tan Jiang and Stephen S.-T. Yau - Topological and differentiable structures of the complement of an arrangement of hyperplanes [ MR 1216551 ]
• Hoil Kim - The relationship between the moduli spaces of vector bundles on $K3$ surfaces and Enriques surfaces [ MR 1216552 ]
• C. LeBrun and Y. S. Poon - Self-dual manifolds with symmetry [ MR 1216553 ]
• Elliott H. Lieb - Remarks on the Skyrme model [ MR 1216554 ]
• E. B. Lin - Geometric settings for quantum systems with isospin [ MR 1216555 ]
• John Lott - Heat kernels on covering spaces and topological invariants [ MR 1216556 ]
• Qi Keng Lu - The heat kernels of symmetric spaces [ MR 1216557 ]
• John J. Millson - CR-geometry and deformations of isolated singularities [ MR 1216558 ]
• L. K. Norris - Generalized symplectic geometry on the frame bundle of a manifold [ MR 1216559 ]
• D. H. Phong - Complex geometry and string theory [ MR 1216560 ]
• Lorenzo Sadun and Jan Segert - Constructing non-self-dual Yang-Mills connections on $S^4$ with arbitrary Chern number [ MR 1216561 ]
• Ambar Sengupta - The Yang-Mills measure for the two-sphere [ MR 1216562 ]
• L. M. Sibner - Examples of nonminimal critical points in gauge theory [ MR 1216563 ]
• Nancy K. Stanton - Spectral invariants of pseudoconformal manifolds [ MR 1216564 ]
• Mark Stern - $L_2$-cohomology and index theory of noncompact manifolds [ MR 1216565 ]
• Wing-Wah Sung - On Calabi-Yau three-folds fibered over smooth complex surfaces [ MR 1216566 ]
• Gang Tian - Degeneration of Kähler-Einstein manifolds. I [ MR 1216567 ]
• Yue Lin L. Tong - Flat connections on products of determinant bundles [ MR 1216568 ]
• Marc Troyanov - Surfaces riemanniennes à singularités simples [ MR 1216569 ]
• S.-T. Yau and F. Zheng - Remarks on certain higher-dimensional quasi-Fuchsian domains [ MR 1216570 ]
• Steven Zucker - $L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds [ MR 1216571 ]
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Volume: 541993; 655 pp
MSC: Primary 32; 53; 58; 81; 83;
This item is also available as part of a set:
• Articles
• Malcolm Adams, Clint McCrory, Ted Shifrin and Robert Varley - Invariants of Gauss maps of theta divisors [ MR 1216524 ]
• Augustin Banyaga - On characteristics of hypersurfaces in symplectic manifolds [ MR 1216525 ]
• John K. Beem - Disprisoning and pseudoconvex manifolds [ MR 1216526 ]
• L. Bérard-Bergery and A. Ikemakhen - On the holonomy of Lorentzian manifolds [ MR 1216527 ]
• Jean-Pierre Bourguignon - Spinors, Dirac operators, and changes of metrics [ MR 1216528 ]
• Charles P. Boyer and Benjamin M. Mann - The hyper-Kähler geometry of the ADHM construction and quaternionic geometric invariant theory [ MR 1216529 ]
• Steven B. Bradlow - Nonabelian vortices and a new Yang-Mills-Higgs energy [ MR 1216530 ]
• Eugenio Calabi and Herman Gluck - What are the best almost-complex structures on the 6-sphere? [ MR 1216531 ]
• Luis A. Cordero, Marisa Fernández and Alfred Gray - The failure of complex and symplectic manifolds to be Kählerian [ MR 1216532 ]
• Kevin Corlette - Nonabelian Hodge theory [ MR 1216533 ]
• Xianzhe Dai - Geometric invariants and their adiabatic limits [ MR 1216534 ]
• Andrzej Derdziński - Geometry of elementary particles [ MR 1216535 ]
• Dennis DeTurck, Hubert Goldschmidt and Janet Talvacchia - Existence of connections with prescribed Yang-Mills currents [ MR 1216536 ]
• Lance D. Drager and Robert L. Foote - Vector bundles over homogeneous spaces and complete, locally symmetric spaces [ MR 1216537 ]
• Todd A. Drumm - Margulis space-times [ MR 1216538 ]
• D. Duncan and E. Ihrig - Incomplete flat homogeneous geometries [ MR 1216539 ]
• Paul E. Ehrlich and Gérard G. Emch - Geodesic and causal behavior of gravitational plane waves: astigmatic conjugacy [ MR 1216540 ]
• Joseph H. G. Fu - Curvature of singular spaces via the normal cycle [ MR 1216541 ]
• Ronald O. Fulp - The nonintegrable phase factor and gauge theory [ MR 1216542 ]
• Gregory J. Galloway - The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity [ MR 1216543 ]
• Paul Gauduchon - Weyl structures on self-dual conformal manifolds [ MR 1216544 ]
• James F. Glazebrook and Franz W. Kamber - Chiral anomalies and Dirac families in Riemannian foliations [ MR 1216545 ]
• Steven G. Harris - What is the shape of space in a spacetime? [ MR 1216546 ]
• Adam D. Helfer - The kinematics of the gravitational field [ MR 1216547 ]
• Sigurdur Helgason - Support theorems in integral geometry and their applications [ MR 1216548 ]
• Oussama Hijazi - Killing spinors and eigenvalues of the Dirac operator [ MR 1216549 ]
• Gary R. Jensen and Marco Rigoli - Einstein metrics on circle bundles [ MR 1216550 ]
• Tan Jiang and Stephen S.-T. Yau - Topological and differentiable structures of the complement of an arrangement of hyperplanes [ MR 1216551 ]
• Hoil Kim - The relationship between the moduli spaces of vector bundles on $K3$ surfaces and Enriques surfaces [ MR 1216552 ]
• C. LeBrun and Y. S. Poon - Self-dual manifolds with symmetry [ MR 1216553 ]
• Elliott H. Lieb - Remarks on the Skyrme model [ MR 1216554 ]
• E. B. Lin - Geometric settings for quantum systems with isospin [ MR 1216555 ]
• John Lott - Heat kernels on covering spaces and topological invariants [ MR 1216556 ]
• Qi Keng Lu - The heat kernels of symmetric spaces [ MR 1216557 ]
• John J. Millson - CR-geometry and deformations of isolated singularities [ MR 1216558 ]
• L. K. Norris - Generalized symplectic geometry on the frame bundle of a manifold [ MR 1216559 ]
• D. H. Phong - Complex geometry and string theory [ MR 1216560 ]
• Lorenzo Sadun and Jan Segert - Constructing non-self-dual Yang-Mills connections on $S^4$ with arbitrary Chern number [ MR 1216561 ]
• Ambar Sengupta - The Yang-Mills measure for the two-sphere [ MR 1216562 ]
• L. M. Sibner - Examples of nonminimal critical points in gauge theory [ MR 1216563 ]
• Nancy K. Stanton - Spectral invariants of pseudoconformal manifolds [ MR 1216564 ]
• Mark Stern - $L_2$-cohomology and index theory of noncompact manifolds [ MR 1216565 ]
• Wing-Wah Sung - On Calabi-Yau three-folds fibered over smooth complex surfaces [ MR 1216566 ]
• Gang Tian - Degeneration of Kähler-Einstein manifolds. I [ MR 1216567 ]
• Yue Lin L. Tong - Flat connections on products of determinant bundles [ MR 1216568 ]
• Marc Troyanov - Surfaces riemanniennes à singularités simples [ MR 1216569 ]
• S.-T. Yau and F. Zheng - Remarks on certain higher-dimensional quasi-Fuchsian domains [ MR 1216570 ]
• Steven Zucker - $L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds [ MR 1216571 ]
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