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Found 90 Documents (Results 1–90)

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Quasi-local mass and isometric embedding with reference to a static spacetime. (English) Zbl 1471.53059

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 453-462 (2021).
MSC:  53C50 83C40 35Q75
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Energy, momentum, and center of mass in general relativity. (English) Zbl 1359.83020

Cao, Huai-Dong (ed.) et al., Advances in geometry and mathematical physics. Lectures given at the geometry and topology conference at Harvard University, Cambridge, MA, USA, 2014. Somerville, MA: International Press (ISBN 978-1-57146-322-7/pbk). Surveys in Differential Geometry 21, 343-352 (2016).
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Full Text: arXiv

Rigidity results in general relativity: a review. (English) Zbl 1339.83010

Bieri, Lydia (ed.) et al., One hundred years of general relativity. A jubilee volume on general relativity and mathematics. Somerville, MA: International Press (ISBN 978-1-57146-308-1/hbk). Surveys in Differential Geometry 20, 123-156 (2015).
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Full Text: arXiv

Rigidity and minimizing properties of quasi-local mass. (English) Zbl 1333.83033

Cao, Huai-Dong (ed.) et al., Regularity and evolution of nonlinear equations. Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Somerville, MA: International Press (ISBN 978-1-57146-303-6/hbk). Surveys in Differential Geometry 19, 49-61 (2015).
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Full Text: arXiv

Geometry problems related with quasi-local mass in general relativity. (English) Zbl 1320.83023

Dong, Yuxin (ed.) et al., Recent developments in geometry and analysis. Special volume dedicated to Zhengguo Bai on the occasion of his 95th birthday and to Yibing Shen on the occasion of his 70th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-250-3/pbk). Advanced Lectures in Mathematics (ALM) 23, 387-406 (2012).
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The positive mass theorem near null infinity. (English) Zbl 1168.53326

Lau, Ka-Sing (ed.) et al., Third international congress of Chinese mathematicians. Part 1. Proceedings of the ICCM ’04, Hong Kong, China, December 17–22, 2004. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4454-0/pbk; 978-0-8218-4416-8/set). AMS/IP Studies in Advanced Mathematics 42, 1, 423-432 (2008).
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Full Text: arXiv

Positive mass theorems and Calabi-Yau compactification. (English) Zbl 1123.83018

Ge, Mo-Lin (ed.) et al., Differential geometry and physics. Proceedings of the 23rd international conference of differential geometric methods in theoretical physics, Tianjin, China, August 20–26, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-377-4/hbk). Nankai Tracts in Mathematics 10, 473-479 (2006).
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The Penrose inequality. (English) Zbl 1058.83006

Chruściel, Piotr T. (ed.) et al., The Einstein equations and the large scale behavior of gravitational fields. 50 Years of the Cauchy problem in general relativity. With DVD. Basel: Birkhäuser (ISBN 3-7643-7130-7/hbk). 39-70 (2004).
MSC:  83C05 53C80 83C40
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Full Text: arXiv

Positive mass theorem for modified energy condition. (English) Zbl 1050.53059

Brezis, Haim (ed.) et al., Morse theory, minimax theory and their applications to nonlinear differential equations. Proceedings of the workshop, Beijing, China, April 1–September 30, 1999. Somerville, MA: International Press (ISBN 1-57146-109-4/hbk). New Stud. Adv. Math. 1, 275-282 (2003).
MSC:  53C50 83C40
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