Global pinching theorems of submanifolds in spheres.
Global structure of holomorphic webs on surfaces
The webs have been studied mainly locally, near regular points (see a short list of references on the topic in the bibliography). Let d be an integer ≥ 1. A d-web on an open set U of ℂ² is a differential equation F(x,y,y’) = 0 with , where the coefficients are holomorphic functions, a₀ being not identically zero. A regular point is a point (x,y) where the d roots in y’ are distinct (near such a point, we have locally d foliations mutually transverse to each other, and caustics appear through...
Globale Eigenschaften der Pseudostriktionslinien einer Regelfläche
Globale Invarianten von Raumkurven, Regelflächen und Geradenkongruenzen im einfach isotropen Raum.
Globale Riemannsche Geometrie.
Globale Tschebyscheff-Netze auf Riemannschen Mannigfaltigkeiten und Fortsetzung von Flächen konstanter negativer Krümmung
Globally hyperbolic Lorentzian spaces with special holonomy groups.
Gluing complex discs to Lagrangian manifolds by Gromov’s method
The paper discusses some aspects of Gromov’s theory of gluing complex discs to Lagrangian manifolds.
Graded lagrangian submanifolds
Graded Poisson structures on the algebra of differential forms.
Graded Riemann surfaces and Krichever-Novikov algebras
Gradient estimates and Harnack inequalities for solutions to the minimal surface equation
A gradient estimate for solutions to the minimal surface equation can be proved by Partial Differential Equations methods, as in [2]. In such a case, the oscillation of the solution controls its gradient. In the article presented here, the estimate is derived from the Harnack type inequality established in [1]. In our case, the gradient is controlled by the area of the graph of the solution or by the integral of it. These new results are similar to the one announced by Ennio De Giorgi in [3].
Gradient Estimates and Mean Curvatures.
Gradient estimates for inverse curvature flows in hyperbolic space
We prove gradient estimates for hypersurfaces in the hyperbolic space Hn+1, expanding by negative powers of a certain class of homogeneous curvature functions F. We obtain optimal gradient estimates for hypersurfaces evolving by certain powers p > 1 of F-1 and smooth convergence of the properly rescaled hypersurfaces. In particular, the full convergence result holds for the inverse Gauss curvature flow of surfaces without any further pinching condition besides convexity of the initial hypersurface....
Gradient horizontal de fonctions polynomiales
Nous étudions les trajectoires du gradient sous-riemannien (appellé horizontal) de fonctions polynômes. Dans ce cadre l’inégalité de Łojasiewicz n’est pas valide et une trajectoire du gradient horizontal peut être de longueur infinie, et peut même s’accumuler sur une courbe fermée. Nous montrons que ces comportement sont exceptionnels ; et que, pour une fonction générique les trajectoires de son gradient horizontal ont des propriétés similaires au cas du gradient riemannien. Pour obtenir la finitude...
Gradient-Like and Integrable Vector Fields on IR2.
Grafické určovanie charakteristík obalových skrutkových plôch
Grafting Seiberg-Witten monopoles.
Graph selectors and viscosity solutions on Lagrangian manifolds
Let be a Lagrangian submanifold of for some closed manifold X. Let be a generating function for which is quadratic at infinity, and let W(x) be the corresponding graph selector for in the sense of Chaperon-Sikorav-Viterbo, so that there exists a subset of measure zero such that W is Lipschitz continuous on X, smooth on and for Let H(x,p)=0 for . Then W is a classical solution to on and extends to a Lipschitz function on the whole of X. Viterbo refers to W as a variational...
Graphs with prescribed mean curvature on hyperbolic spaces.