On the affine surface area

Web20 de nov. de 2013 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. WebPseudo-Anosovs of interval type Ethan FARBER, Boston College (2024-04-17) A pseudo-Anosov (pA) is a homeomorphism of a compact connected surface S that, away from a finite set of points, acts locally as a linear map with one expanding and one contracting eigendirection. Ubiquitous yet mysterious, pAs have fascinated low-dimensional …

On Lp-Affine Surface Area and Curvature Measures

Web13 de abr. de 2024 · Discrete kinetic equations describing binary processes of agglomeration and fragmentation are considered using formal equivalence between the kinetic equations and the geodesic equations of some affinely connected space A associated with the kinetic equation and called the kinetic space of affine connection. … Web5 de jan. de 2024 · Metrics. In this paper, we define the L_p -mixed affine surface area probability measure and obtain the log-Minkowski inequalities for nonsymmetric convex bodies of L_p -mixed affine surface area. Besides, we also establish the functional inequalities for L_p -mixed affine surface area, which are more general form than the … dalian huanong beans technology developm https://consival.com

Inequalities for mixed p -affine surface area - Springer

WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): 52 Keywords: p-affine surface area 1 There are many links between Differential Geometry and Convexity Theory. An example of such a link is the affine surface area which has attracted increased attention in recent years. Originally a concept of Affine Differential Geometry, … WebTherefore we expect that the p-affine surface area will turn out to be an equally useful tool as the affine surface area. Hug [H1] gave new definitions of the p-affine surface area. He also proved that these new definitions give the same p-affine surface area as that defined by Lutwak. (In particular, Hug generalized the work of Dolzmann Web25 de jun. de 2000 · Extended affine surface area. The Brunn–Minkowski–Firey theory, II. Affine and geominimal surface areas. E. Lutwak and V. Oliker, On the regularity of the … bipf school

Inequalities for mixed p -affine surface area - Springer

Category:(PDF) On the p-mixed affine surface area - ResearchGate

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On the affine surface area

Dual Orlicz affine surface area SpringerLink

Web21 de out. de 2024 · Download Citation On Oct 21, 2024, Kai Jiang and others published Research on contact mechanics of a 3D self-affine surface topography using mesh regeneration technology Find, read and cite ... Web11 de dez. de 1997 · Abstract: We give geometric interpretations of certain affine invariants of convex bodies. The affine invariants are the p-affine surface areas introduced by …

On the affine surface area

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WebHá 1 dia · In any two-scale model, one defines two problems: the global-scale problem and the local-scale problem. In the global-scale problem, represented in Fig. 1(b), the surfaces are considered smooth, although waviness may be present at this scale.Hence, a coarse grid, similar to the one depicted in Fig. 1(b), is sufficient.In order to account for the effect … Web10 de set. de 2004 · Its relation to p-affine surface area is studied. Previous article in issue; Next article in issue; MSC. 52A20. Keywords. Convex body. Floating body. P-affine surface area. Recommended articles. References [Ba1] I Bárány. Random polytopes in smooth convex bodies. Mathematika, 39 (1992), pp. 81-92.

WebContributions to affine surface area Daniel Hug manuscripta mathematica 91 , 283–301 ( 1996) Cite this article 158 Accesses 59 Citations Metrics Abstract Representations of … WebAn affine space is a generalization of this idea. You can't add points, but you can subtract them to get vectors, and once you fix a point to be your origin, you get a vector space. So one perspective is that an affine space is like a vector space where you haven't specified an …

Web18 de jun. de 2015 · Connections between affine surface area and the affine Plateau problem were discussed, for example, Trudinger and Wang . It is also not surprising to see the appearance of affine surface area in polytopal approximation, for example, Bárány , Böröczky , and Gruber . Web4 de abr. de 2024 · Interest in affine surface area is partly due to its connections with various geometric inequalities such as the Blaschke-Santal6 inequality (9). See …

WebThe basic affine invariants of classical convex geometry are well known. Lp-extensions of these invariants have been found within the Lp-Brunn-Minkow ski theory. One of the …

Web18 de jun. de 2015 · Functional Versions of L p-Affine Surface Area and Entropy Inequalities - 24 Hours access EUR €15.00 GBP £13.00 USD $16.00 Rental. This article is also available for rental through DeepDyve. Advertisement. Citations. Views. 243. Altmetric. More metrics information. ×. Email alerts. Article activity alert. Advance article ... bipg account managerWeb26 de nov. de 2009 · We prove new Alexandrov-Fenchel type inequalities and new affine isoperimetric inequalities for mixed p -affine surface areas. We introduce a new class of … bipg friesoytheWebON THE AFFINE SURFACE AREA CARSTEN SCHUJTT (Communicated by William J. Davis) ABSTRACT. It is shown that at least two expressions that extend the definition of … dalian huameilong metal products co. ltdWebAbstract. Motivated by the celebrated work of Lutwak, Yang and Zhang [ 1] on (p, q) -mixed volumes and that of Feng and He [ 2] on (p, q) -mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and Brunn-Minkowski-type inequalities with respect to (p, q) -mixed geominimal surface areas. bip grant applicationWeb17 de set. de 2024 · Systems, methods, and devices are provided for assisting or performing guided interventional procedures using specialized catheters and inserts. A bend altering device is introduced into a conduit in an organ causing it to take on a tortuous path and to assist in its visualization. A scan is performed of a patient's anatomy to identify … dalian hongye machineryWebEXTENDED AFFINE SURFACE AREA 43 where 1.1~ is the max-norm on the space C(S- ‘) of continuous functions on the unit sphere. Lebesgue measure on IR” will be denoted by V, and for Lebesgue bip gastricoWeb14 de abr. de 2024 · 2. There are many various ways to derive the formula for the volume of a p -norm ball in R n. V n, p, R = ( 2 Γ ( 1 + 1 p)) n Γ ( 1 + n p) R n. And I found many articles who use this to find the surface area (of n − 1 dimensions) of the boundary sphere for p = 2, using ∫ 0 R S n, 2, r d r = V n, 2, R and concluding that S n, 2, r = d V n ... bip gm maly plock