Dennis DeTurck

Dennis M. Deturck ( born July 15, 1954) is an American mathematician who deals with partial differential equations and differential geometry.

Deturck studied at Drexel University with a bachelor's degree in 1976 and at the University of Pennsylvania with a Master 's degree in 1978 and his doctorate in 1980 at Jerry Kazdan ( Existence of metrics with Prescribed Ricci tensor: local theory ). He was later a professor at the University of Pennsylvania, where he worked from 2004 Dean of the College of Arts and Sciences.

He dealt with the problem of the existence of metrics on Riemannian manifolds with prescribed Ricci curvature ( his thesis ) and Ricci flows.

In 2002 he received the Haimo Award for his doctrine of the Mathematical Association of America. In 2012 he became a Fellow of the American Mathematical Society and received the Chauvenet Prize ( with Herman Gluck, Daniel Pomerleano, David Shea Vela - Vick for The Four Vertex Theorem and Its Converse over the four- vertex theorem).

He was a member of the collective Arthur Besse.

His doctoral Nets Katz heard.

Writings

  • Existence of metrics with Prescribed Ricci curvature: local theory, Inventiones Mathematicae, Volume 65, 1981/82, p.179 -207
  • Deforming metrics in the direction of Their Ricci tensors, J. Differential Geom 18 (1983) ,157-162 ( Deturck trick for the existence of Ricci flows)
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