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Aspects of Einstein metrics on 4-manifolds II

Introductory Workshop: Modern Riemannian Geometry January 18, 2016 - January 22, 2016

January 21, 2016 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Michael Anderson (State University of New York, Stony Brook)
Location: MSRI: Simons Auditorium
  • differential geometry differential geometry

  • Riemannian geometry

  • modern geometry

  • curvature

  • curvature estimates

  • Ricci curvature

  • Ricci curvature lower bounds

  • Einstein manifolds

  • 4-manifolds

  • existence and uniqueness results for PDEs

  • PDEs on manifolds with boundary

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



These lectures will discuss classical and more recent research on selected topics in the area of Einstein metrics on 4-dimensional manifolds. The basic questions concern existence and uniqueness of such metrics. Broadly speaking, the first lecture will discuss uniqueness issues; more precisely the apriori structure of the (moduli) space of Einstein metrics on a given manifold. The second lecture will turn to the more difficult existence questions (on manifolds with boundary). 

25288?type=thumb References 64.4 KB application/pdf Download
25669?type=thumb Anderson Notes 5.24 MB application/pdf Download
Video/Audio Files


H.264 Video 14432.mp4 356 MB video/mp4 rtsp://videos.msri.org/data/000/025/297/original/14432.mp4 Download
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