Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Schnürer, Oliver C."'
Autor:
Kroencke, Klaus, Petersen, Oliver Lindblad, Lubbe, Felix, Marxen, Tobias, Maurer, Wolfgang, Meiser, Wolfgang, Schnürer, Oliver C., Szabó, Áron, Vertman, Boris
Publikováno v:
J. Geom. Anal (2020)
We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold $M\times\mathbb{R}$, where $M$ is asymptotically flat. If the initial hypersurface $F_0\subset M\times\mathbb{R}$ is uniforml
Externí odkaz:
http://arxiv.org/abs/1903.03502
Autor:
Rupflin, Melanie, Schnürer, Oliver C.
We consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we treat the case of complete graphs and explain how the approach of M. Saez
Externí odkaz:
http://arxiv.org/abs/1409.7529
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows to smoothly fl
Externí odkaz:
http://arxiv.org/abs/1210.6007
We study the Ricci flow of initial metrics which are C^0-perturbations of the hyperbolic metric on H^n. If the perturbation is bounded in the L^2-sense, and small enough in the C^0-sense, then we show the following: In dimensions four and higher, the
Externí odkaz:
http://arxiv.org/abs/1003.2107
We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature: If another solution is initially close to the cone at infinity, then the diffe
Externí odkaz:
http://arxiv.org/abs/0811.0259
Autor:
Schnürer, Oliver C., Azouani, Abderrahim, Georgi, Marc, Hell, Juliette, Jangle, Nihar, Koeller, Amos, Marxen, Tobias, Ritthaler, Sandra, Sáez, Mariel, Schulze, Felix, Smith, Brian
We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Furthermore, after appropriate rescaling the evolving networks converge to a
Externí odkaz:
http://arxiv.org/abs/0711.1108
We study the Ricci flow for initial metrics which are C^0 small perturbations of the Euclidean metric on R^n. In the case that this metric is asymptotically Euclidean, we show that a Ricci harmonic map heat flow exists for all times, and converges un
Externí odkaz:
http://arxiv.org/abs/0706.0421
Autor:
Schnürer, Oliver C., Schulze, Felix
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they for
Externí odkaz:
http://arxiv.org/abs/math/0702698
Autor:
Bayard, Pierre, Schnürer, Oliver C.
We prove existence and stability of smooth entire strictly convex spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. The proof is based on barrier constructions and local a priori estimates.
Comment: 31 pages
Comment: 31 pages
Externí odkaz:
http://arxiv.org/abs/math/0612659
We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain convergence for large times to that soliton without imposing any decay rates.
Externí odkaz:
http://arxiv.org/abs/math/0509372