Results 121 to 130 of about 10,016 (227)
Minimal translation hypersurfaces in E4
, 2016 International audienceIn this paper we consider hypersurfaces in the Euclidean space E4 defined as the sum of a curve and a surface whose mean curvature vanishes.
Moruz, Marilena, Munteanu, Marian Ioan
core +1 more source
Global hypersurfaces of section for geodesic flows on convex hypersurfaces
Archiv der MathematikWe construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admits an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.
Sunghae Cho, Dongho Lee
openaire +3 more sources
Locally symmetric affine hypersurfaces
, 1985 The nondegenerate quadratic hypersurfaces and the improper affine hyperspheres are the only nondegenerate hypersurfaces of dimension greater than two of an affine space which are affine locally symmetric with respect to their induced connection.
P. Verheyen, L. Verstraelen
core +1 more source
AxiomsWe first study the f-biharmonicity of totally umbilical hypersurfaces in a Riemannian manifold of dimension n≥3 and prove that any totally umbilical proper f-biharmonic hypersurface without boundaries in a nonpositively curved manifold must be noncompact.
Ze-Ping Wang, Li-Hua Qin, Xue-Yi Chen
doaj +1 more source
Unlocking multidimensional cancer therapeutics using geometric data science. [PDF]
Sci Rep, 2023 Parashar D.
europepmc +1 more source
Rational Curves on Hypersurfaces
, 2015 We investigate the dimensions of the spaces of rational curves on hypersurfaces, and various related questions.Mathematicsrational curves; hypersurfaces; algebraic ...
Riedl, Eric
core
On the Moebius deformable hypersurfaces
, 2023 In the article [\emph{Deformations of hypersurfaces preserving the M\"obius metric and a reduction theorem}, Adv. Math. 256 (2014), 156--205], Li, Ma and Wang investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic ...
Jimenez, M. I., Tojeiro, R.
core
The Open Journal of AstrophysicsWe introduce a spatial averaging scheme and use it to study the evolution of spatial averages in large-scale simulations of cosmological structure formation performed with the Einstein Toolkit.
Alexander Oestreicher +1 more
doaj +1 more source
Spherical rigid hypersurfaces in C²
, 2014 We show that Stanton's list of rigid spherical hypersurfaces in [5] is not complete and determine the parameters that uniquely correspond to all such ...
Ezhov, V. +3 more
core +1 more source