Minimal submanifolds of low cohomogeneity

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Web1 okt. 2000 · In this particular case, the extension method produces new examples of cohomogeneity one minimal or CMC hypersurfaces in any symmetric space of noncompact type admitting a simple root space of... WebThe 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.

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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 … Web27 jan. 2016 · In this paper, we compute the Morse index for a free boundary minimal submanifold from data of two simpler problems. The first one is the corresponding … ion steamboat

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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 … Web28 mrt. 2024 · Congenital Abnormalities Special submanifolds in nearly Kähler 6-manifolds Authors: Benjamin Aslan Abstract This thesis is on J-holomorphic curves and special Lagrangians of nearly Kähler... 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 … ions te

Minimal submanifolds of low cohomogeneity

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Web15 mrt. 2024 · The answer to this question is 'no' for most minimal surfaces of revolution in the 3 -sphere. Consider surfaces in S 3 = { ( z, w) ∈ C 2 z 2 + w 2 = 1 } that are invariant under the circle action e i θ ⋅ ( z, w) = ( e i p θ z, e i q θ w) where p ≥ q ≥ 0 are relatively prime integers. 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 …

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Web27 jan. 2016 · In this paper, we compute the Morse index for a free boundary minimal submanifold from data of two simpler problems. The first one is the corresponding problem with fixed boundary condition; and... 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 …

WebOn minimal submanifolds of a sphere with second fundamental form of constant length. In: Functional Analysis and Related Fields. Springer, New York 1970, 59–75. Google … 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 …

Web20 nov. 2024 · MINIMAL SUBMANIFOLDS TOBIAS H. COLDING and WILLIAM P. MINICOZZI Bulletin of the London Mathematical Society Published online: 31 May 2006 Article PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ2×ℝ RICARDO SA EARP Journal of the Australian Mathematical Society Published online: 1 August … WebHsiang, W.Y., Lawson, H.B.: Minimal submanifolds of low cohomogeneity. J. Differ. Geom.5, 1–38 (1971) Google Scholar Ishihara, T.: A mapping of Riemannian manifolds which …

WebWe 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.

Web1 jan. 1971 · Select any item from the right-pane. Content Source: Project Euclid × Error ion statut moralWeb15 jul. 2015 · In particular, the Chen conjecture states that any biharmonic submanifold of R n is minimal. Although there are some results which prove that the conjecture holds under suitable geometric... ion sterian transgazWeb15 mrt. 2024 · The answer to this question is 'no' for most minimal surfaces of revolution in the 3 -sphere. Consider surfaces in S 3 = { ( z, w) ∈ C 2 z 2 + w 2 = 1 } that are … on the go jack linkletterWeb1971 Minimal submanifolds of low cohomogeneity Wu-yi Hsiang , H. Blaine Lawson, Jr. J. Differential Geom. 5 (1-2): 1-38 (1971). DOI: 10.4310/jdg/1214429775 ABOUT FIRST PAGE CITED BY REFERENCES First Page PDF Sorry, your browser doesn't support … on the go jo coffeeWebMinimal submanifolds of low cohomogeneity. W. Hsiang, H. Lawson; Mathematics. 1971; Let M be a Riemannian manifold and I(M) its full isometry group. It was shown in [MST] that /(M) is naturally a Lie group which acts differentiably on M. A Lie subgroup G of 1(M) is called an … Expand. 437. PDF. on the go jewelry caseWebabove 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 ion sterianWebHsiang W.Y., Lawson H.B. Jr., Minimal submanifolds of low cohomogeneity, J. Differential Geom. 5 (1971), 1-38. Karp L., Subharmonic functions on real and complex manifolds, Math. Z. 179 (1982), 535-554. Lawson H.B., The stable homology of a flat torus, Math. Scand. 36 (1975), 49-73. Lawson H.B., ionstech unique fiber repair shaper