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SUMMARY:Siran Li (Rice University)
DTSTART:20200421T180000Z
DTEND:20200421T190000Z
DTSTAMP:20260423T035026Z
UID:OSGA/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/2/">Iso
 metric Immersions of Riemannian Manifolds into Euclidean Spaces\, Revisite
 d</a>\nby Siran Li (Rice University) as part of Online Seminar "Geometric 
 Analysis"\n\n\nAbstract\nThe existence of isometric immersions of Riemanni
 an\nmanifolds into ambient Euclidean spaces has been a classical problem\n
 in geometric analysis and nonlinear PDEs. Seminal works by Darboux\,\nWeyl
 \, Nirenberg\, Nash\, Gromov\, etc. etc. have addressed this problem\nfrom
  different perspectives. In this talk we discuss three approaches\,\nsome 
 are probably less known\, to the isometric immersions problem.\nThese incl
 ude (1)\, pseudo-holomorphic curve formulation of the Weyl\nproblem due to
  F. Labourie\; (2)\, Uhlenbeck gauge formulation for the\nPfaff system\; a
 nd (3)\, the fluid mechanical formulation for negatively\ncurved surfaces.
 \n
LOCATION:https://researchseminars.org/talk/OSGA/2/
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