Generalized degree and optimal loewner-type inequalities
نویسندگان
چکیده
منابع مشابه
Generalized Degree and Optimal Loewner-type Inequalities
We generalize optimal inequalities of C. Loewner and M. Gromov, by proving lower bounds for the total volume in terms of the homotopy systole and the stable systole. Our main tool is the construction of an area-decreasing map to the Jacobi torus, streamlining and generalizing the construction of the first author in collaboration with D. Burago. It turns out that one can successfully combine thi...
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We prove certain optimal systolic inequalities for a closed Riemannian manifold (X, g), depending on a pair of parameters, n and b. Here n is the dimension of X , while b is its first Betti number. The proof of the inequalities involves constructing Abel-Jacobi maps from X to its Jacobi torus T, which are area-decreasing (on b-dimensional areas), with respect to suitable norms. These norms are ...
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A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wa...
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Solvabilities of generalized vector variational-type inequalities (GVVTI) are discussed in this work. First, the solvability of GVVTI without monotone assumption for mappings is considered in (reflexive) Banach spaces by using Brouwer fixed point theorem (Browder fixed point theorem). Second, the solvability of GVVTI with monotone assumption for mappings is considered in reflexive Banach spaces...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2004
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02772220