Results 181 to 190 of about 1,358 (218)

Weighted Minimal Hypersurface Reconstruction

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2007
Many problems in computer vision can be formulated as a minimization problem for an energy functional. If this functional is given as an integral of a scalar-valued weight function over an unknown hypersurface, then the sought-after minimal surface can be determined as a solution of the functional's Euler-Lagrange equation.
Goldlücke, B., Ihrke, I., Linz, C., Magnor, M.   +3 more
openaire   +3 more sources

Stably embedded minimal hypersurfaces

Mathematische Zeitschrift, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
NELLI, BARBARA, SORET M.
openaire   +2 more sources

Finding Large Minimal Hypersurfaces

2022
We show that for any closed Riemannian manifold with dimension between 3 and 7, either there are minimal hypersurfaces with arbitrarily large area, or the space of certain pathological-looking minimal hypersurfaces has a Cantor set structure. In particular, among the applications, we prove that there exist minimal hypersurfaces with arbitrarily large ...
openaire   +1 more source

Rigidity of Clifford Minimal Hypersurfaces

Monatshefte f�r Mathematik, 2003
The author proves some rigidity theorems for Clifford minimal hypersurfaces in a unit sphere. After a survey of the author's results proofs of the two major results are given.
openaire   +2 more sources

EXTRINSIC DIMENSIONS OF TUBULAR MINIMAL HYPERSURFACES

Mathematics of the USSR-Sbornik, 1988
Translation from Mat. Sb., Nov. Ser. 131(173), No.2, 240-250 (Russian) (1986; Zbl 0621.53006).
Vedenyapin, A. D., Miklyukov, V. M.
openaire   +1 more source

MINIMAL HYPERSURFACES OVER SOFT OBSTACLES

Mathematics of the USSR-Izvestiya, 1974
In the present work the following variational problem is discussed: minimize the area functional in the class of all functions for which . For small enough the existence of an extremal is proved, and it is shown that it belongs to with a Holder index , .
openaire   +2 more sources

Minimal Translation Hypersurfaces in Euclidean Space

Mediterranean Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Munteanu, Marian Ioan, Palmas, Oscar, Ruiz-Hernández, Gabriel   +2 more
openaire   +1 more source

Rigidity of stable minimal hypersurfaces

Mathematische Annalen, 1997
In this interesting paper, the authors -- motivated by \textit{D. Fisher-Colbrie} and \textit{R. Schoen} [Common. Pure Appl. Math. 33, 199-211 (1980; Zbl 0439.53060)] and \textit{R. Schoen} and \textit{S.-T. Yau} [Ann. Math. Stud. 102, 209-228 (1982; Zbl 0481.53036)] -- study stability of minimal hypersurfaces assuming, on the ambient manifold, that ...
Shen, Ying, Zhu, Shunhui
openaire   +2 more sources

Minimal Intransigent Hypersurfaces

2006
We give examples of hypersurfaces of degree d in P n(ℂ), whose singularities are not versally deformed by the family H d(n) of all hypersurfaces of degree d in P n(ℂ), and which are of minimal codimension with this property.
openaire   +2 more sources

Minimal disks and two-convex hypersurfaces

American Journal of Mathematics, 2002
In this paper we apply an existence theory and estimates on the Morse index of minimal two-spheres and minimal disks with free boundary in two-convex domains in Euclidean space and in manifolds with positive isotropic curvature, to study the topology of two-convex domains.
openaire   +2 more sources