Conference »Between Geometry and Relativity« Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger-Instituts für Mathematik und Physik (ESI) am Montag, dem 24. Juli 2017 im Lise Meitner-Hörsaal der Fakultät für Physik der Universität Wien Teil 2: Richard Schoen: The high dimensional positive energy theorem Kamera: Johannes Sauer, Daniel Winkler Schnitt: Daniel Winkler Abstract: This talk discusses the problem of proving the positive energy theorem in cases not directly covered by the Dirac operator approach or the minimal hypersurface approach. These are the cases when the dimension is greater than 8 and the manifold is not spin. The proof is accomplished by extending the minimal hypersurface approach in the presence of singularities and controlling the singular sets which arise. The work is in a recent paper which is joint with S. T. Yau. Richard Schoen ist Professor am Department of Mathematics der University of California. INHALT ====== Kapitel Titel Position --------------------------------------------------------------------- 1. Vorspann 00:00:00 2. Positive energy theorems 00:00:09 3. The Dirac operator and minimal hypersurfaces 00:17:00 4. Relations to the Yamabe problem 00:33:04 5. Stability of minimal hypersurface singularities 00:39:37 6. Dealing with minimal hypersurface singularities 00:46:47

Relativitätstheorie, Hyperfläche, Positive-Energie-Theorem

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(c) Österreichische Zentralbibliothek für Physik