The Existence of Generalized Isothermal Coordinates for Higher Dimensional Riemannian Manifolds
From MaRDI portal
Publication:3202782
DOI10.2307/2001747zbMath0715.53016OpenAlexW4254326661WikidataQ115229414 ScholiaQ115229414MaRDI QIDQ3202782
Publication date: 1991
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2001747
exponential mapmean curvaturegeodesic spheregeodesic normal coordinatesisothermal coordinatessingular elliptic theory
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Local Riemannian geometry (53B20)
Related Items
Conformal structures of static vacuum data ⋮ The mass according to Arnowitt, Deser and Misner ⋮ Proof of the positive mass conjecture ⋮ On some problems of scalar curvature ⋮ A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ Complete solution of the \(C^0\) compactness of the set of solutions of the Yamabe equation ⋮ Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension ⋮ Aubin's lemma for the Yamabe constants of infinite coverings and a positive mass theorem ⋮ The prescribed \(Q\)-curvature flow for arbitrary even dimension in a critical case ⋮ The effect of linear perturbations on the Yamabe problem ⋮ Compactness of conformal metrics with constant \(Q\)-curvature. I ⋮ The Yamabe problem with singularities ⋮ Compactness and non-compactness for the Yamabe problem on manifolds with boundary ⋮ Conformal metrics with prescribed fractional scalar curvature on conformal infinities with positive fractional Yamabe constants ⋮ On Harnack inequalities and singularities of admissible metrics in the Yamabe problem ⋮ The length function of a twistor spinor with zero ⋮ The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds ⋮ Compactness of solutions to the Yamabe problem. II ⋮ Algebraic topological methods for the supercritical \(Q\)-curvature problem
