On the affine surface area
Web11 de dez. de 1997 · The affine invariants are the p-affine surface areas introduced by Lutwak. The geometric interpretations involve generalizations of the Santaló-bodies introduced by the authors in a previous paper. Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA) MSC classes: 52A10: 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. …
On the affine surface area
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Web20 de ago. 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.
Webof Lp-affine surface area to all ρ € (-η, oo) and also gave a geometric definition of Lp-affine surface area in terms of Lp-Santalô bodies for ρ e (-n, oo). Schutt & Werner went on to show how Lp-affine surface area, for all ρ € [-00,00] (except ρ = -η) has a natural definition in terms of random polytopes [25], and gave another ... 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 …
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. WebIt contains 16 refereed articles in the areas of affine algebraic geometry, commutative algebra and ... Contents:Acyclic Curves and Group Actions on Affine Toric Surfaces (Ivan Arzhantsev and Mikhail Zaidenberg)Hirzeburch Surfaces and Compactifications of ℂ2 (M Furushima and A Ishida)Cyclic Multiple Planes, Branched Covers of Sn and a ...
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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 … simple crypto spreadsheetWeb11 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 … simple crystal chandelierWebAn 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 … simple crystal filterWebCiteSeerX - 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, … raw feeling stomachWeb5 de abr. de 2024 · Affine surface area. Carsten Schuett, Elisabeth M. Werner. We give an overview of the affine surface area, its properties and its history. Subjects: Differential Geometry (math.DG) Cite as: arXiv:2204.01926 [math.DG] simple cs crosshairWeb1 de abr. de 1993 · title={ON THE AFFINE SURFACE AREA}, author={Carsten Sch{\"u}tt and Elisabeth M. Werner}, year={1993} } C. Schütt, E. Werner Published1 April 1993 … simple crystal gridsWeb17 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 … simple crypto trading bot