Minimal submanifolds of low cohomogeneity

Author: gtmt

August undefined, 2024

Web27 jan. 2016 · We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each pair of positive integers $(m,n)$ such that $m, n >1$ and $m+n\geq 8$, we construct a free boundary minimal surface $\Sigma_{m, n} \subset B^{m+n}$(1) invariant under $O(m)\times O(n)$. WebIn the theory of minimal submanifolds many examples have been constructed as fibres of maps. Instances are the following: In this paper we ... 555-588 (1987) [Hs-L] Hsiang, W.Y., Lawson, H.B. Minimal …

Minimal submanifolds of low cohomogeneity - Semantic Scholar

Web24 sep. 2024 · A fundamental invariant of a finite-dimensional representation of a compact Lie group is its cohomogeneity, which by definition is the minimal codimension “ c ” of … Webminimal submanifolds with large groups of symmetries. They noticed that the maximal connected groups with c = 2 always act by the isotropy representation of a symmetric … meaning hydrated

Free Boundary Minimal Surfaces in the Unit Ball With Low Cohomogeneity ...

WebTo make proper use of the full isometry group one should study these decompositions, particularly for actions of low cohomogeneity. The existence and global behavior of … WebMinimal submanifolds of low cohomogeneity Wu-yi Hsiang, H. Blaine Lawson 31 Dec 1970 - Journal of Differential Geometry (Lehigh University) - Vol. 5, pp 1-38 About: This … Web27 jan. 2016 · We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each pair of positive integers $(m,n)$ such that $m, n >1$ and … pearson world regional geography

Special submanifolds in nearly Kähler 6-manifolds - ResearchGate

Minimal submanifolds of low cohomogeneity

Web9 nov. 2024 · I'm aware that Hsiang and Lawson have classified some low cohomogeneity actions back in the 1970s in their paper Minimal Submanifolds of Low Cohomogeneity. However, a quick look at those classifications doesn't seem to produce an example. dg.differential-geometry lie-groups riemannian-geometry group-actions transformation … Web14 jan. 2024 · Spherical Bernstein problem. Among the various generalizations of Problem 1, the so-called spherical Bernstein problem is a natural and challenging one in the realm of global differential geometry. It is due to S.S. Chern (cf. [Ch]; he also proposed it at the International Congress of Mathematicians at Nice (1970), cf. [Ch2] ).

Did you know?

WebMinimal submanifolds of low cohomogeneity Wu-yi Hsiang, H. Blaine Lawson 01 Jan1971-Journal of Differential Geometry Full-text Trace 433 citations Save Cite Share … WebMINIMAL SUBMANIFOLDS OF LOW COHOMOGENEITY WU-YI HSIANG & H. BLAINE LAWSON, JR. Introduction Let M be a Riemannian manifold and I(M) its full isometry …

WebMaking use of it, he will investigate minimal hypersurfaces such that the multiplicities of principal curvatures are constant. ... Minimal submanifolds of low cohomogeneity [...] Wu-yi Hsiang, H. Blaine Lawson. 01 Jan 1971-Journal of Differential Geometry. Full-text. Trace. 433 citations. Web20 jul. 2024 · A pair of disjoint closed submanifolds M +,M - ⊂ Σ are called dual to each other if the complement Σ − M + strongly homotopy retracts onto M - or vice-versa. In this …

WebMINIMAL SUBMANIFOLDS OF LOW COHOMOGENEITY WU-YI HSIANG & H. BLAINE LAWSON, JR. Introduction Let M be a Riemannian manifold and I(M) its full isometry … Webabove theorem implies that the minimal equation for finding (n + r)-dimensional 7r-invariant minimal submanifolds in E is reduced to an equation in r independent variables. To be more specific, if the fiber of -k is compact we define v : B —* R by v(b) = the volume of 7r_1(_). Then the volume of tt~1(M) is the integral of the

WebMarcel-Dekker (1979), 167–187. —, Geometries associated to the group SU n and varieties of minimal submanifolds arising from the Cayley arithmetic, in Minimal submanifolds …

meaning hydrophobicWebWe prove that isoparametric hypersurfaces with ( g, m) = ( 6, 2) are homogeneous, which answers Dorfmeister-Neher’s conjecture affirmatively and solves Yau’s problem in the case g = 6. Show/hide bibliography for this article. Keywords. Homogeneity, Isoparametric hypersurfaces. DOI. pearson wppsi-ivWebThe relation is that the principal orbits of the linear isotropy representations of symmetric spaces rank two (resp. arbitrary rank) yield beautiful examples of isoparametric hypersurfaces (resp. submanifolds) in spheres. This relation is relatively easy to explain today. Cartan was the master of both subjects in the late 1930's. pearson wraml 3