Dennis DeTurck

Q: What Schools Are Affiliated With Dennis DeTurck

Dennis DeTurck is affiliated with the following schools: University of California, Berkeley, Drexel University, University of Pennsylvania

Dennis DeTurck's AcademicInfluence.com Rankings

Dennis DeTurck

Mathematics

#893

World Rank

#1569

Historical Rank

#391

USA Rank

Measure Theory

#3944

World Rank

#4647

Historical Rank

#1128

USA Rank

mathematics Degrees

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Mathematics

Dennis DeTurck's Degrees

PhD Mathematics University of California, Berkeley

Why Is Dennis DeTurck Influential?

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According to Wikipedia, Dennis M. DeTurck is an American mathematician known for his work in partial differential equations and Riemannian geometry, in particular contributions to the theory of the Ricci flow and the prescribed Ricci curvature problem. He first used the DeTurck trick to give an alternative proof of the short time existence of the Ricci flow, which has found other uses since then.

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Dennis DeTurck's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Deforming metrics in the direction of their Ricci tensors (1983) (428)
Some regularity theorems in riemannian geometry (1981) (341)
Vector Calculus and the Topology of Domains in 3-Space (2002) (114)
Existence of metrics with prescribed Ricci curvature: Local theory (1981) (111)
Isospectral deformations II: Trace formulas, metrics, and potentials (1989) (98)
Existence of elastic deformations with prescribed principal strains and triply orthogonal systems (1984) (66)
The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics (2001) (62)
The spectrum of the curl operator on spherically symmetric domains (2000) (51)
Uniqueness and non-existence of metrics with prescribed Ricci curvature (1984) (49)
Isospectral deformations I: Riemannian structures on two‐step nilspaces (1987) (49)
THE FOUR VERTEX THEOREM AND ITS CONVERSE (2006) (44)
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature (1983) (40)
THE APPROACH TO CONSISTENCY IN THE ANALYTIC HIERARCHY PROCESS (1987) (37)
Cohomology of harmonic forms on Riemannian manifolds with boundary (2005) (36)
METRICS WITH PRESCRIBED RICCI CURVATURE (1982) (36)
Isoperimetric problems for the helicity of vector fields and the Biot–Savart and curl operators (2000) (31)
The Gauss linking integral on the 3-sphere and in hyperbolic 3-space (2004) (29)
Minimal isometric immersions of spherical space forms in spheres (1992) (29)
The Ricci Curvature Equation with Rotational Symmetry (1994) (27)
Metrics with Prescribed Ricci Curvature of Constant Rank (1999) (25)
In vivo kinetics of radiolucent gallstone dissolution by oral dihydroxy bile acids. (1990) (24)
Regularity Theorems in Riemannian Geometry. II. Harmonic Curvature and the Weyl Tensor (1989) (19)
TRIPLE LINKING NUMBERS, AMBIGUOUS HOPF INVARIANTS AND INTEGRAL FORMULAS FOR THREE-COMPONENT LINKS (2009) (18)
You can not hear the mass of a homology class (1989) (14)
Linking, twisting, writing, and helicity on the 2-sphere and in hyperbolic 3-space (2010) (14)
Connections with prescribed curvature and Yang-Mills currents : the semi-simple case (1991) (12)
The inaudible geometry of nilmanifolds (1993) (12)
Pontryagin invariants and integral formulas for Milnor's triple linking number (2011) (11)
Prescribing Ricci curvature on open surfaces (1991) (10)
SPHERICAL MINIMAL IMMERSIONS OF SPHERICAL SPACE FORMS by (2007) (10)
The equation of prescribed Ricci curvature (1980) (9)
On hearing the shape of a triangle (1989) (9)
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows, Part 2 (2012) (9)
Lipschitz minimality of Hopf fibrations and Hopf vector fields (2010) (8)
Nonlinear problems in geometry (1986) (7)
HOW CAN A DRUM CHANGE SHAPE, WHILE SOUNDING THE SAME?: Part II (1991) (7)
Linking integrals in the n-sphere (2008) (6)
Isospectral Riemannian metrics and potentials (1987) (6)
Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows, part II (2013) (6)
Influence of Geometry and Topology on Helicity (2013) (5)
Global 3D parameter of the spine: application of Călugăreanu–White–Fuller theorem in classification of pediatric spinal deformity (2020) (4)
Aspects of Prescribing Ricci Curvature (1997) (2)
Local Existence Of Connections With Prescribed Curvature (1992) (2)
Conformal isospectral deformations (1992) (2)
Local existence of metrics with prescribed curvature (1985) (1)
Making matrices better: Geometry and topology of polar and singular value decomposition (2017) (1)
On orbit configuaration spaces and the rational cohomology of F(RPn,k) (2000) (1)
Connections with prescribed curvature (1987) (1)
Publishing Undergraduate Research Electronically (2007) (1)
Sphere and torus music (1989) (0)
Making Matrices Better (2017) (0)
Existence Of Connections With Prescribed Yang-Mills Currents (1993) (0)
Integrals (2020) (0)
in 3-Space (2016) (0)
The eleventh annual Young Mathematicians Conference Advisory Board (2014) (0)
Book Review: The Mathematician's Shiva (2017) (0)
Making Matrices Better: Geometry and Topology of Singular Value and Polar Decomposition (2017) (0)
Nonlinear problems in geometry : proceedings of an AMS Special Session held May 3-4, 1985 (1986) (0)
STEERING COMMITTEE, Self-Study 2014 (2014) (0)
Deformation retraction of the group of strict contactomorphisms of the three-sphere to the unitary group (2021) (0)

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What Schools Are Affiliated With Dennis DeTurck?

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Dennis DeTurck's Academic­Influence.com Rankings