Results 11 to 20 of about 39 (38)
Iterations of the projection body operator and a remark on Petty’s conjectured projection inequality [PDF]
, 2018 Mathematics subject classification; 52A20, 53A15, 52A39 ...
Saroglou, Christos, Zvavitch, Artem
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Quasihomogeneous analytic affine connections on surfaces [PDF]
, 2013 53A15; 53C23; 57S99International audienceWe classify torsion-free real-analytic affine connections on compact oriented real-analytic surfaces which are locally homogeneous on a nontrivial open set, without being locally homogeneous on all of the surface.
Guillot, Adolfo, Dumitrescu, Sorin
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Hypersurfaces with Locally Symmetric Conormal Connection [PDF]
, 1997 This paper studies hypersurfaces admitting a locally symmetric connection which is induced by the Gauß conormal map in affine geometry. It is known that the rank of the shape operator is of importance to this topic.
M. Wiehe, Wiehe, Martin
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Examples of Weyl Geometries in Affine Differential Geometry [PDF]
, 1997 We study relations between Weyl geometries and Codazzi structures (see [BGS96]) and investigate examples of Weyl geometries on affine hypersurfaces. Keywords: Weyl connections, Codazzi structures, affine hypersurfaces. MS Classification: 53A15, 53B15 0
Martin Peikert, Peikert, Martin
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Geometry of Centroaffine Surfaces in R5
, 2015 . We use Cartan’s method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R5 \ {0} with nonde-generate centroaffine metric.
Jeanne N. Clelland +3 more
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Width-Integrals of Mixed Projection Bodies and Mixed Affine Surface Area 1 [PDF]
, 2011 The main purposes of this paper are to establish some new BrunnMinkowski inequalities for width-integrals of mixed projection bodies and affine surface area of mixed bodies, and get their inverse forms.
Mihály Bencze, Zhao Chang-Jian
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The mixed Lp affine surface areas for functions
, 2019 In this paper, we propose a definition of a general mixed Lp affine surface area, -n ≠ p ∈ ℝ, for multiple functions. Our denfiition is different from and is "dual" to the one in [11] by Caglar and Ye.
Zhu, Baocheng, Xing, Sudan
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Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric
, 2007 We examine the centroaffine geometry of Tchebychev surfaces. We introduce regular and singular surfaces. By understanding the local integrability conditions, we will classify the centroaffine Tchebychev surfaces of constant curvature metric.
Thomas Binder
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Cubic Forms Generated By Functions on Projectively Flat Spaces
, 1998 We study third order Codazzi tensor fields relative to projectively flat connections. We construct such tensors from functions. This construction obeys a simple transformation law within a fixed projective class.
Judith Leder
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Affine hypersurfaces with parallel cubic forms
Tohoku Mathematical Journal, 1990Udo Simon, Katsumi Nomizu
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