Results 1 to 10 of about 302 (37)
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 đ-space. This flow involves đ-th elementary symmetric function for principal curvature radii and a function of support function.
Ju HongJie, Li BoYa, Liu YanNan
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Complex Manifolds, 2022 Let (M, â, ă, ă) be a manifold endowed with a flat torsionless connection r and a Riemannian metric ă, ă and (TkM)kâĽ1 the sequence of tangent bundles given by TkM = T(Tkâ1M) and T1M = TM. We show that, for any k ⼠1, TkM carries a Hermitian structure (Jk,
Boucetta Mohamed
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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
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Singularities of Blaschke normal maps of convex surfaces [PDF]
, 2010 We prove that the difference between the numbers of positive swallowtails and negative swallowtails of the Blaschke normal map for a given convex surface in affine space is equal to the Euler number of the subset where the affine shape operator has ...
Arnol'd +9 more
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An isomorphic version of the Busemann-Petty problem for arbitrary measures [PDF]
, 2014 We prove the following theorem. Let $\mu$ be a measure on $R^n$ with even continuous density, and let $K,L$ be origin-symmetric convex bodies in $R^n$ so that $\mu(K\cap H)\le \mu(L\cap H)$ for any central hyperplane H.
Koldobsky, Alexander, Zvavitch, Artem
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On the stability of the $p$-affine isoperimetric inequality
, 2013 Employing the affine normal flow, we prove a stability version of the $p$-affine isoperimetric inequality for $p\geq1$ in $\mathbb{R}^2$ in the class of origin-symmetric convex bodies.
Ivaki, Mohammad N.
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Group-theoretic Approach for Symbolic Tensor Manipulation: II. Dummy Indices
, 2001 Computational Group Theory is applied to indexed objects (tensors, spinors, and so on) with dummy indices. There are two groups to consider: one describes the intrinsic symmetries of the object and the other describes the interchange of names of dummy ...
B. F. SVAITER +2 more
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Geometric realizations, curvature decompositions, and Weyl manifolds
, 2010 We show any Weyl curvature model can be geometrically realized by a Weyl ...
Gilkey, Peter +2 more
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Envelope of mid-planes of a surface and some classical notions of affine differential geometry
, 2017 For a pair of points in a smooth locally convex surface in 3-space, its mid-plane is the plane containing its mid-point and the intersection line of the corresponding pair of tangent planes.
Craizer, Marcos, Junior, Ady Cambraia
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Demonstratio MathematicaAn osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet +2 more
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