Results 21 to 30 of about 73 (69)

Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem

Advanced Nonlinear Studies
In this paper, we investigate two anisotropic Gaussian curvature flows. Through establishing the long-time existence and congergence for these two flows, we derive the existence results for the Orlicz-Gaussian Minkowski problem in both origin-symmetric ...
Liu Yannan, Peng Yuxin
doaj   +1 more source

The curvature entropy inequalities of convex bodies

Open Mathematics
There are many entropy inequalities in geometry, some of them can be seen as the Minkowski inequalities in the form of entropy, which play important roles in convex geometry.
Zhang Deyan
doaj   +1 more source

Separating the solution sets of analytical and polynomial systems

Linear semi-infinite programming, linear systems, convex sets, 90C34, 15A39, 52A20,
Miguel Goberna, Maxim Todorov, Lidia Hernández   +2 more
core   +1 more source

Sums of squares, Hankel index and almost real rank

Forum of Mathematics, Sigma
The Hankel index of a real variety X is an invariant that quantifies the difference between nonnegative quadrics and sums of squares on X. In [5], the authors proved an intriguing bound on the Hankel index in terms of the Green–Lazarsfeld index, which ...
Grigoriy Blekherman, Justin Chen, Jaewoo Jung   +2 more
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A generalization of Lehmann's theorem on the comparison of uniform location experiments [PDF]

, 2003
We generalize a result of Lehmann on the comparison of location ex-periments with uniform distributions on intervals. We compare in this paper a location experiment consisting of uniform distributions on paral-lelepipeds with a location experiment ...
Heinz Weisshaupt, Weisshaupt, H., Weisshaupt, H Heinz   +2 more
core   +1 more source

Geometric properties of the family of p-parallel bodies

Analysis and Geometry in Metric Spaces
We study geometric properties of the family of p-parallel bodies of a convex body K with respect to a gauge body E. In particular, we investigate various regularity properties of their boundaries by means of their 0-extreme vectors, aiming for extensions
Hernández Cifre María A., Martínez Fernández Antonio R., Saorín Gómez Eugenia   +2 more
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Michael-Simon type inequalities in hyperbolic space Hn+1 ${\mathbb{H}}^{n+1}$ via Brendle-Guan-Li’s flows

Advanced Nonlinear Studies
In the present paper, we first establish and verify a new sharp hyperbolic version of the Michael-Simon inequality for mean curvatures in hyperbolic space Hn+1 ${\mathbb{H}}^{n+1}$ based on the locally constrained inverse curvature flow introduced by ...
Cui Jingshi, Zhao Peibiao
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Locally constrained flows and Michael–Simon type inequalities in hyperbolic space Hn+1 ${\mathbb{H}}^{n+1}$

Advances in Nonlinear Analysis
Brendle [Sobolev inequalities in manifolds with nonnegative curvature, Comm. Pure Appl. Math. 76 (2022), no. 9, 2192–2218] successfully establishes the sharp Michael–Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional ...
Cui Jingshi, Zhao Peibiao
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Diversities and the Generalized Circumradius. [PDF]

Discrete Comput Geom, 2023
Bryant D, Huber KT, Moulton V, Tupper PF.   +3 more
europepmc   +1 more source

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

Analysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
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