Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Froehlich, Steffen"'
Autor:
Froehlich, Steffen
We establish existence and regularity results for normal Coulomb frames in the normal bundle of two-dimensional surfaces of disc-type embedded in Euclidean spaces of higher dimensions.
Externí odkaz:
http://arxiv.org/abs/0910.2080
Autor:
Froehlich, Steffen, Mueller, Frank
In this paper we consider the existence and regularity problem for Coulomb frames in the normal bundle of two-dimensional surfaces with higher codimension in Euclidean spaces. While the case of two codimensions can be approached directly by potential
Externí odkaz:
http://arxiv.org/abs/0906.1865
Autor:
Froehlich, Steffen, Mueller, Frank
For orthonormal normal sections of two-dimensional immersions in R^4 we define torsion coefficients and a functional for the total torsion. We discuss normal sections which are critical for this functional. In particular, a global estimate for the to
Externí odkaz:
http://arxiv.org/abs/0705.3347
Autor:
Froehlich, Steffen
We establish area bounds for two-dimensional immersions in R^3 and R^n. Namely, for \mu-stable immersions in R^3 (R^n), for graphs in $\mathbb R^3$ which solve quasilinear equations in divergence form, and for graphs which are critical for Fermat-typ
Externí odkaz:
http://arxiv.org/abs/math/0703327
Autor:
Froehlich, Steffen
We present three ways to establish general stability inequalities for various classes of 2-immersions in Euclidean spaces of higher codimension
Externí odkaz:
http://arxiv.org/abs/math/0701604
Autor:
Froehlich, Steffen, Winklmann, Sven
We consider graphs Sigma^n in R^m with prescribed mean curvature and flat normal bundle. Using techniques of Schoen, Simon and Yau, and Ecker-Huisken, we derive an interior curvature estimate of the form |A|^2<=C/R^2 up to dimension n<=5, where C is
Externí odkaz:
http://arxiv.org/abs/math/0603659
Autor:
Froehlich, Steffen
In this overview report we generalize Erhard Heinz' curvature estimate for minimal graphs in R^3 to graphs in R^n of prescribed mean curvature. Secondly, we analyse these problems in the frame of the outer differential geometry which leads us to the
Externí odkaz:
http://arxiv.org/abs/math/0510498
Autor:
Froehlich, Steffen
Using Schauder's theory for linear elliptic partial differential equations in two independent variables and fundamental estimates for univalent mappings due to E. Heinz we establish an upper bound of the Gaussian curvature of two-dimensional minimal
Externí odkaz:
http://arxiv.org/abs/math/0506587
Autor:
Bergner, Matthias, Froehlich, Steffen
We consider two-dimensional immersions of disc-type in R^n. We focus well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type condition we give a priori-estimates of the principle curvatures for
Externí odkaz:
http://arxiv.org/abs/math/0504079
Autor:
Froehlich, Steffen
We investigate existence and stability of rotationally symmetric critical immersions of variational problems of higher order which were considered by Nitsche.
Comment: 18 pages, 44 figures
Comment: 18 pages, 44 figures
Externí odkaz:
http://arxiv.org/abs/math/0409448