A conformal differential invariant and the conformal rigidity of hypersurfaces
From MaRDI portal
Publication:4372288
DOI10.1090/S0002-9939-97-03828-8zbMath0887.53030arXivmath/9806001OpenAlexW1807164380MaRDI QIDQ4372288
Maks A. Akivis, Vladislav V. Goldberg
Publication date: 11 December 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9806001
hypersurfacemoving framesfirst and second fundamental formsconformal rigidityconformal and pseudoconformal geometryconformal quadratic element
Related Items
PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE Sn + 1(1) ⋮ Classification of Möbius isoparametric hypersurfaces in \({\mathbb S}^5\) ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Möbius homogeneous hypersurfaces with two distinct principal curvatures in \(S^{n+1}\) ⋮ Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues ⋮ \(G\)-deformations of maps into projective space ⋮ Conformal isoparametric spacelike hypersurfaces in conformal spaces \(\mathbb Q_1^4\) and \(\mathbb Q^5_1\) ⋮ Classification of hypersurfaces with two distinct principal curvatures and closed Möbius form in \(\mathbb{S}^{m + 1}\) ⋮ Classification of hypersurfaces with constant Möbius Ricci curvature in \(\mathbb{R}^{n+1}\) ⋮ Reduction of fibrations of a Grassmann-like manifold of centered planes under normalization ⋮ Classification of hypersurfaces with constant Möbius curvature in \({\mathbb{S}^{m+1}}\) ⋮ Hypersurfaces with isotropic Blaschke tensor ⋮ On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues ⋮ A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN Sm+1 ⋮ Generalized Willmore functionals and related variational problems ⋮ Möbius homogeneous hypersurfaces with three distinct principal curvatures in \(\mathbb S^{n+1}\) ⋮ Submanifolds with parallel Möbius second fundamental form in the unit sphere ⋮ A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors ⋮ Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\) ⋮ Hypersurfaces with two distinct para-Blaschke eigenvalues in \(S^{n+1}(1)\) ⋮ Conformal geometry of hypersurfaces in Lorentz space forms ⋮ A Möbius characterization of submanifolds in real space forms with parallel mean curvature and constant scalar curvature ⋮ On Möbius form and Möbius isoparametric hypersurfaces ⋮ Classification of the Blaschke isoparametric hypersurfaces with three distinct Blaschke eigenvalues ⋮ A Möbius characterization of submanifolds ⋮ Classification of Möbius isoparametric hypersurfaces in the unit six-sphere ⋮ Classification of Möbius Isoparametric Hypersurfaces in 4 ⋮ Higher order Willmore hypersurfaces in Euclidean space ⋮ On the Blaschke isoparametric hypersurfaces in the unit sphere
Cites Work