Locally strongly convex affine hypersurfaces with parallel cubic form

From MaRDI portal
Publication:549096

DOI10.4310/jdg/1304514974zbMath1220.53015OpenAlexW2167636368WikidataQ115170873 ScholiaQ115170873MaRDI QIDQ549096

Haizhong Li, Luc Vrancken, Ze-Jun Hu

Publication date: 6 July 2011

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1304514974




Related Items (49)

On product affine hyperspheres in \(\mathbb{R}^{n+1}\)Pseudo-Finsler spaces modeled on a pseudo-Minkowski spaceRigidity theorems for relative Tchebychev hypersurfacesOn Lorentzian Einstein affine hyperspheresOn centroaffine Tchebychev hypersurfaces with constant sectional curvatureCentroaffine surfaces with parallel or recurrent cubic form relative to the induced connectionAffine hypersurfaces with constant sectional curvatureCompleteness in affine and statistical geometryClassification of the locally strongly convex centroaffine hypersurfaces with parallel cubic formIsotropic affine spheresSubmanifolds with semi-parallel Möbius second fundamental form in the unit sphereConformally flat affine hypersurfaces with semi-parallel cubic formOn \(\widetilde{J}\)-tangent affine hyperspheresLocally strongly convex affine hypersurfaces with semi-parallel cubic formMultiple product affine hypersurfaces with semi-parallel cubic formClassification of locally strongly convex isotropic centroaffine hypersurfacesLocally conformally flat affine hyperspheres with parallel Ricci tensorOn flat elliptic centroaffine Tchebychev hypersurfacesCentroaffine \(T\)-umbilical hypersurfaces and pseudo-parallel cubic formAffine hypersurfaces of arbitrary signature with an almost symplectic formOn conformally flat centroaffine hypersurfaces with semi-parallel cubic formOn conformally flat affine hypersurfaces with pseudo-parallel cubic formThree-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvatureA new characterization of Calabi composition of hyperbolic affine hyperspheresAffine hypersurfaces with parallel difference tensor relative to affine \(\alpha\)-connectionIsotropic affine hypersurfaces of dimension 5The generalized Cayley hypersurfaces and their geometrical characterizationOn the equiaffine symmetric hyperspheresOn quasi-umbilical locally strongly convex homogeneous affine hypersurfacesAn optimal inequality on locally strongly convex centroaffine hypersurfacesAffine sphere relativityGraph immersions with parallel cubic formClassification of Calabi hypersurfaces with parallel Fubini-Pick formOn the isolation phenomena of locally conformally flat manifolds with constant scalar curvature -- submanifolds versionsShiing-Shen Chern's centenaryA Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex coneLorentzian affine hypersurfaces with parallel cubic formThe classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic formBlaschke hypersurfaces with constant negative affine mean curvatureThe classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic formUnnamed ItemOn four-dimensional Einstein affine hyperspheresCharacterization of the generalized Calabi composition of affine hyperspheresCentro-affine hypersurface immersions with parallel cubic formOn locally strongly convex affine hyperspheres realizing Chen's equalityA classification of isotropic affine hyperspheresA differential geometric characterization of the Cayley hypersurfaceNew equiaffine characterizations of the ellipsoids related to an equiaffine integral inequality on hyperovaloidsOn the isolation phenomena of Einstein manifolds—submanifolds versions




This page was built for publication: Locally strongly convex affine hypersurfaces with parallel cubic form