Book Review
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MathSciNet review:
4274517
Full text of review:
PDF
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Book Information:
Author:
Dan A. Lee
Title:
Geometric relativity
Additional book information:
Graduate Studies in Mathematics, Vol. 201,
American Mathematical Society,
Providence, RI,
2019,
xii+361 pp.,
ISBN 978-1-4704-5081-6
Hubert L. Bray and Dan A. Lee, On the Riemannian Penrose inequality in dimensions less than eight, Duke Math. J. 148 (2009), no. 1, 81–106. MR 2515101, DOI 10.1215/00127094-2009-020
Hubert L. Bray, William P. Minicozzi II, Michael Eichmair, Lan-Hsuan Huang, Shing-Tung Yau, Karen Uhlenbeck, Rob Kusner, Fernando Codá Marques, Chikako Mese, and Ailana Fraser, The mathematics of Richard Schoen, Notices Amer. Math. Soc. 65 (2018), no. 11, 1349–1376. MR 3822985
Michael Eichmair, Lan-Hsuan Huang, Dan A. Lee, and Richard Schoen, The spacetime positive mass theorem in dimensions less than eight, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 1, 83–121. MR 3438380, DOI 10.4171/JEMS/584
Lan-Hsuan Huang and Dan A. Lee, Equality in the spacetime positive mass theorem, Comm. Math. Phys. 376 (2020), no. 3, 2379–2407. MR 4104553, DOI 10.1007/s00220-019-03619-w
R. Schoen and Shing Tung Yau, Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature, Ann. of Math. (2) 110 (1979), no. 1, 127–142. MR 541332, DOI 10.2307/1971247
Richard Schoen and Shing Tung Yau, On the proof of the positive mass conjecture in general relativity, Comm. Math. Phys. 65 (1979), no. 1, 45–76. MR 526976
Richard Schoen and Shing Tung Yau, Proof of the positive mass theorem. II, Comm. Math. Phys. 79 (1981), no. 2, 231–260. MR 612249
References
- Hubert L. Bray and Dan A. Lee, On the Riemannian Penrose inequality in dimensions less than eight, Duke Math. J. 148 (2009), no. 1, 81–106. MR 2515101, DOI 10.1215/00127094-2009-020
- Hubert L. Bray, William P. Minicozzi II, Michael Eichmair, Lan-Hsuan Huang, Shing-Tung Yau, Karen Uhlenbeck, Rob Kusner, Fernando Codá Marques, Chikako Mese, and Ailana Fraser, The mathematics of Richard Schoen, Notices Amer. Math. Soc. 65 (2018), no. 11, 1349–1376. MR 3822985
- Michael Eichmair, Lan-Hsuan Huang, Dan A. Lee, and Richard Schoen, The spacetime positive mass theorem in dimensions less than eight, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 1, 83–121. MR 3438380, DOI 10.4171/JEMS/584
- Lan-Hsuan Huang and Dan A. Lee, Equality in the spacetime positive mass theorem, Comm. Math. Phys. 376 (2020), no. 3, 2379–2407. MR 4104553, DOI 10.1007/s00220-019-03619-w
- R. Schoen and Shing Tung Yau, Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature, Ann. of Math. (2) 110 (1979), no. 1, 127–142. MR 541332, DOI 10.2307/1971247
- Richard Schoen and Shing Tung Yau, On the proof of the positive mass conjecture in general relativity, Comm. Math. Phys. 65 (1979), no. 1, 45–76. MR 526976
- Richard Schoen and Shing Tung Yau, Proof of the positive mass theorem. II, Comm. Math. Phys. 79 (1981), no. 2, 231–260. MR 612249
Review Information:
Reviewer:
Lan-Hsuan Huang
Affiliation:
Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
Email:
lan-hsuan.huang@uconn.edu
Journal:
Bull. Amer. Math. Soc.
58 (2021), 461-466
DOI:
https://doi.org/10.1090/bull/1736
Published electronically:
April 5, 2021
Review copyright:
© Copyright 2021
American Mathematical Society
