Results 1 to 10 of about 39 (38)

The General Dual Orlicz Geominimal Surface Area

Journal of Function Spaces, 2020
In this paper, we study the general dual Orlicz geominimal surface area by the general dual Orlicz mixed volume which was introduced by Gardner et al. (2019).
Ni Li, Shuang Mou
doaj   +2 more sources

Deforming a Convex Hypersurface by Anisotropic Curvature Flows

Advanced Nonlinear Studies, 2021
In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean 𝑛-space. This flow involves 𝑘-th elementary symmetric function for principal curvature radii and a function of support function.
Ju HongJie, Li BoYa, Liu YanNan
doaj   +1 more source

On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric

Complex Manifolds, 2022
Let (M, ∇, 〈, 〉) be a manifold endowed with a flat torsionless connection r and a Riemannian metric 〈, 〉 and (TkM)k≥1 the sequence of tangent bundles given by TkM = T(Tk−1M) and T1M = TM. We show that, for any k ≥ 1, TkM carries a Hermitian structure (Jk,
Boucetta Mohamed
doaj   +1 more source

Iterations of the projection body operator and a remark on Petty’s conjectured projection inequality [PDF]

, 2018
Mathematics subject classification; 52A20, 53A15, 52A39 ...
Saroglou, Christos, Zvavitch, Artem
core   +1 more source

A mixed volume from the anisotropic Riesz‐potential

Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 71-96, December 2018., 2018
Abstract As a geometrical understanding of the maximal gravitational potential in computational and mathematical physics, this paper investigates a mixed volume induced by the so‐called anisotropic Riesz‐potential and establishes a reverse Minkowski‐type inequality.
Shaoxiong Hou, Jie Xiao, Deping Ye
wiley   +1 more source

Hypersurfaces with Locally Symmetric Conormal Connection [PDF]

, 1997
This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Gauß conormal map in affine geometry. It is known that the rank of the shape operator is of importance to this topic.
M. Wiehe, Wiehe, Martin
core   +1 more source

Examples of Weyl Geometries in Affine Differential Geometry [PDF]

, 1997
We study relations between Weyl geometries and Codazzi structures (see [BGS96]) and investigate examples of Weyl geometries on affine hypersurfaces. Keywords: Weyl connections, Codazzi structures, affine hypersurfaces. MS Classification: 53A15, 53B15 0
Martin Peikert, Peikert, Martin
core   +1 more source

Geometry of Centroaffine Surfaces in R5

, 2015
. We use Cartan’s method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R5 \ {0} with nonde-generate centroaffine metric.
Jeanne N. Clelland, Bushek, N., Clelland, J.N., Nathaniel Bushek   +3 more
core   +1 more source

Quasihomogeneous analytic affine connections on surfaces

, 2013
53A15; 53C23; 57S99International audienceWe classify torsion-free real-analytic affine connections on compact oriented real-analytic surfaces which are locally homogeneous on a nontrivial open set, without being locally homogeneous on all of the surface.
Guillot, Adolfo, Dumitrescu, Sorin
core   +1 more source

Width-Integrals of Mixed Projection Bodies and Mixed Affine Surface Area 1 [PDF]

, 2011
The main purposes of this paper are to establish some new BrunnMinkowski inequalities for width-integrals of mixed projection bodies and affine surface area of mixed bodies, and get their inverse forms.
Mihály Bencze, Zhao Chang-Jian
core