DOI10.4310/jdg/1214509286zbMath0517.53044OpenAlexW1587685671WikidataQ115173553 ScholiaQ115173553MaRDI QIDQ1053295
Dennis M. DeTurck
Publication date: 1983
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214509286
Total mean curvature of the boundary and nonnegative scalar curvature fill-ins,
Pinching estimates for solutions of the linearized Ricci flow system in higher dimensions,
Twisted Ricci flow on a class of Finsler metrics and its solitons,
The parametric approach to the Willmore flow,
Uniqueness and stability of singular Ricci flows in higher dimensions,
A minimising movement scheme for the \(p\)-elastic energy of curves,
A spinorial energy functional: critical points and gradient flow,
A multiscale model for dislocations: From mesoscopic elasticity to macroscopic plasticity,
Perturbative construction of stationary Randall-Sundrum II black holes on a 5-brane,
More on cotton flow,
Convergence of riemannian manifolds with integral bounds on curvature. I,
Short-time existence of the Möbius-invariant Willmore flow,
An elastic flow for nonlinear spline interpolations in ℝⁿ,
Generalized cross curvature flow,
Constructing Lifshitz spaces using the Ricci flow,
On intrinsic properties of Ricci flow curve,
Short-time existence for the second order renormalization group flow in general dimensions,
Local conformal instability and local non-collapsing in the Ricci flow of quantum spacetime,
Static flow on complete noncompact manifolds. I: Short-time existence and asymptotic expansions at conformal infinity,
Evolution equations in Riemannian geometry,
On the existence of stationary Ricci solitons,
Hyperbolic Ricci-Bourguignon flow,
The Yang-Mills heat semigroup on three-manifolds with boundary,
The Wasserstein geometry of nonlinear σ models and the Hamilton–Perelman Ricci flow,
Renormalization group and the Ricci flow,
A mean-curvature flow along a Kähler–Ricci flow,
On Nash’s unique contribution to analysis in just three of his papers,
Yamabe Flow On Nilpotent Lie Groups,
Flows of Co-closed $$G_{2}$$-Structures,
Short-time behaviour of a modified Laplacian coflow of \(G_2\)-structures,
On the mean curvature flow of submanifolds in the standard Gaussian space,
Conformal compactification of asymptotically locally hyperbolic metrics,
The Burns-Epstein invariant and deformation of CR structures,
Local stability of Einstein metrics under the Ricci iteration,
Defining pointwise lower scalar curvature bounds for \(C^0\) metrics with regularization by Ricci flow,
Infinitesimal Ricci flows of minimal surfaces in the three-dimensional Euclidean space,
Smoothing metrics on closed Riemannian manifolds through the Ricci flow,
On the well-posedness of the vacuum Einstein's equations,
Riemann-Christoffel flows,
Evolution equations of curvature tensors along the hyperbolic geometric flow,
Regularity and expanding entropy for connection Ricci flow,
Backwards uniqueness of the Yamabe flow,
Perelman entropy functional at Type I singularity on complete manifolds,
Polyhomogénéité des métriques asymptotiquement hyperboliques complexes le long du flot de Ricci,
Polyhomogeneity of metrics compatible with a Lie structure at Infinity along the Ricci flow,
Graphical mean curvature flow,
On weak super Ricci flow through neckpinch,
Second-order geometric flows on foliated manifolds,
The Ricci flow as a geodesic on the manifold of Riemannian metrics,
Evolution of the Yamabe constant under Bernhard List's flow,
Ricci flow approach to the cosmological constant problem,
Singularities of Three-Dimensional Ricci Flows,
On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half,
Ricci flow on Finsler surfaces,
Ricci flow with bounded curvature integrals,
Variation of Laplace spectra of compact ``nearly hyperbolic surfaces, Trace anomaly, Perelman’s functionals and the cosmological constant, The Ricci-Bourguignon flow, The \(L^{\frac{3}{2}}\)-norm of the scalar curvature under the Ricci flow on a 3-manifold, A heat flow for special metrics, Brownian motion with respect to time-changing Riemannian metrics, applications to Ricci flow, Area-minimizing projective planes in 3-manifolds, Yang-Mills measure on the two-dimensional torus as a random distribution, Pointwise lower scalar curvature bounds for \(C^0\) metrics via regularizing Ricci flow, Positivity of the universal pairing in 3 dimensions, Ricci deformation of the metric on Riemannian orbifolds, A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows, Linear and dynamical stability of Ricci-flat metrics, A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds, Eigenvalue monotonicity for the Ricci-Hamilton flow, Higher order curvature flows on surfaces, Total mass under connection Ricci flow, Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension, Stochastic quantization of an abelian gauge theory, Bach flow, Stability of hyperbolic manifolds with cusps under Ricci flow, Unnamed Item, Curvature, Sphere Theorems, and the Ricci flow, The second Sobolev best constant along the Ricci flow, Rotating black droplet, Evolution of the first eigenvalue of the clamped plate on manifold along the Ricci flow, A new flow on open manifolds: short time existence and uniqueness, Singularities of renormalization group flows, On algorithms with good mesh properties for problems with moving boundaries based on the Harmonic Map Heat Flow and the DeTurck trick, The blow-up of the conformal mean curvature flow, Long time behavior of a quasilinear hyperbolic system modelling elastic membranes, Convergence and stability of locally \(\mathbb R^N\)-invariant solutions of Ricci flow, Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold, Short-time existence of the Ricci flow on noncompact Riemannian manifolds, A uniformization theorem for complete Kähler manifolds with positive holomorphic bisectional curvature, On the uniqueness of Ricci flow, Recent developments on the Ricci flow, The Kähler–Ricci Flow on Fano Manifolds, Stability of symmetric spaces of noncompact type under Ricci flow, Singularity models in the three-dimensional Ricci flow, Langevin dynamic for the 2D Yang-Mills measure, The Yang-Mills heat equation with finite action in three dimensions, Diffusive inflationary cosmology, Short-time existence of the second order renormalization group flow in dimension three, Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow, Stochastic quantization of Yang–Mills, \(d_p\)-convergence and \(\epsilon\)-regularity theorems for entropy and scalar curvature lower bounds, Hyper-elastic Ricci flow: Gradient flow, local existence-uniqueness, and a Perelman energy functional, Ricci flow of \(W^{2, 2}\)-metrics in four dimensions, A new geometric flow on 3-manifolds: the \(K\)-flow, On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds, Gradient flow of Einstein-Maxwell theory and Reissner-Nordström black holes, The Yang-Mills heat flow with random distributional initial data, A state space for 3D Euclidean Yang-Mills theories, Complete shrinking general Ricci flow soliton systems, Kähler-Ricci flow on rational homogeneous varieties, The prescribed cross curvature problem on the three-sphere, ADM mass for \(C^0\) metrics and distortion under Ricci-DeTurck flow, Unnamed Item, The Higgs mechanism and geometrical flows for two-manifolds, Unnamed Item, Four-manifolds with positive isotropic curvature, GAUGE CHOICE FOR THE YANG–MILLS EQUATIONS USING THE YANG–MILLS HEAT FLOW AND LOCAL WELL-POSEDNESS IN H1, Unnamed Item, Ricci-Bourguignon flow coupled with harmonic map flow, Complete shrinking Ricci–Bourguignon harmonic solitons, Rotating black holes in Einstein-aether theory