Geometric structures on manifolds / William M. Goldman.

Format:

Book

Author/Creator:

Goldman, William Mark, author.

Series:

Graduate Studies in Mathematics, v. 227

Language:

English

Subjects (All):

Manifolds (Mathematics).

Physical Description:

1 online resource

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2022]

System Details:

Mode of access : World Wide Web

Contents:

Affine geometry Projective geometry Duality and non-Euclidean geometry Convexity Locally homogeneous geometric structures Examples of geometric structures Classification Completeness Affine structures on surfaces and the Euler characteristic Affine Lie groups Parallel volume and completeness Hyperbolicity Projective structures on surfaces Complex-projective structures Geometric structures on 3-manifolds Appendix A. Transformation groups Appendix B. Affine connections Appendix C. Representations of nilpotent groups Appendix D. 4-dimensional filiform nilpotent Lie algebras Appendix E. Semicontinuous functions Appendix F. $\mathsf {SL}(2,\mathbb {C})$ and $O(3,1)$ Appendix G. Lagrangian foliations of symplectic manifolds

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2022

Description based on print version record.

Other Format:

Print version: Goldman, William Mark, Geometric structures on manifolds /

ISBN:

9781470471972 (online)

Access Restriction:

Restricted for use by site license.