On the affine surface area
Web10 de set. de 2004 · The surface body is a generalization of the floating body. Its relation to p -affine surface area is studied. MSC 52A20 Keywords Convex body Floating body P … 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 …
On the affine surface area
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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 … WebAbstract. In this paper, we introduce the L p geominimal surface area for all −n≠p<1, which extends the classical geominimal surface area (p=1) by Petty and the L p geominimal surface area by Lutwak (p>1). Our extension of the L p geominimal surface area is motivated by recent work on the extension of the L p affine surface area—a …
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 Web11 de abr. de 2024 · Márta et al. proposed a new definition of a surface that uses three triangular surfaces instead of the original boundary curves on the triangular parameter domain to generate a triangular surface. This interpolation scheme has affine transformation invariance [ 19 ], while the connection between the resulting surface and …
Web20 de ago. de 2013 · We prove some properties for the $L_p$ geominimal surface area and its related inequalities, such as, the affine isoperimetric inequality and a Santaló style … Web1 de abr. de 2014 · On the p-mixed affine surface area Authors: Xiao-Yan Li Zhao Chang-Jian China Jiliang University Abstract Some new inequalities for i -th mixed p-affine …
Web4 de out. de 2016 · Schiitt C, Wener E. Surface bodies and p -affine surface area[J]. Adv Math, 2004, 187: 98–145. Article Google Scholar Wang W D, Leng G S. p L -mixed affine surface area [J]. J Math Anal Appl, 2007, 335: 341–354. Article Google Scholar Werner E. Illumination bodies and affine surface area [J].
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 … side effects of hypothyroidism in malesWebIt 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 ... the pirates who don\u0027t do anything deviantartWeb20 de ago. de 2010 · General affine surface areas. Two families of general affine surface areas are introduced. Basic properties and affine isoperimetric inequalities for these new … the pirates who don\u0027t do anything cheeseWeb11 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: the pirates vayWebAbstract. 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. side effects of hypothyroidism medicineWebCiteSeerX - 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, … the pirate taketh awayWeb21 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 ... the pirate tapes the truth about somalia