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Summer School »Between Geometry and Relativity«. Teil 19: Richard Schoen: Positive Energy Theorems 8


  Österreichische Zentralbibliothek für Physik


Summer School »Between Geometry and Relativity«

Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Donnerstag, dem 20. Juli 2017 im Lise Meitner-Hörsaal der Fakultät für Physik

Teil 19: Richard Schoen: Positive Energy Theorems 8

Kamera: Raphael Wos, Viktor Zdrachal
Schnitt: Daniel Winkler

Abstract: We will introduce positive energy/mass problems in general relativity and discuss methods for solving some of them. The methods will involve minimal hypersurfaces and marginally outer trapped surfaces and require an understanding of existence problems as well as the second variation and stability notions for these hypersurfaces. We will also introduce Penrose inequalities which give stronger versions of positive energy theorems for black hole spacetimes. We will describe the flow approaches which have been developed to prove the Riemannian Penrose inequality.

Richard Schoen ist Professor am Department of Mathematics der University of California.


Kapitel Titel Position
1. Vorspann 00:00:00
2. Unweighted eigenvalue bounds 00:00:10
3. The second variation form. Technical problems 00:11:30
4. Regularity and the Hausdorff dimension 00:26:29
5. Spaces for the eigenfunctions 00:33:27
6. The non-concentration theorem 00:47:30

(c) Österreichische Zentralbibliothek für Physik

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ÖFOS 2002, Mathematical physics

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