WebAn English translation of them is provided in the present edition. The first of these articles consists in Busemann’s doctoral dissertation. Its main theme is the foundations of the metric theory of Minkowski spaces, a theme that accompanied Busemann for the rest of his life. The two other papers are elaborations and complements on the same ... WebAug 19, 2024 · In the present paper we investigate Busemann functions in a general Finsler setting as well as in asymptotically harmonic Finsler manifolds. In particular, we show that Busemann functions are smooth on asymptotically harmonic Finsler manifolds.
AMS :: Proceedings of the American Mathematical Society
Webof normed linear spaces (or Minkowski spaces [Th]) and metric spaces (see ... spaces: Busemann volume, Holmes-Thompson volume, Gromov volume, and Benson volume. Consequently, we obtain the following corollary: ... is a Busemann function, i.e., the limit of an almost-geodesic ray? This question motivated the paper [KMN] and was settled ... WebFeb 19, 2024 · We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function. Finally, we conclude that in a Minkowski space, if all harmonic functions have the mean value … tempat pelestarian badak bercula satu
Non-expanding maps and Busemann functions - Cambridge Core
WebIntegrals of smooth and analytic functions over Minkowski's sums of convex sets S. Alesker; 2. On the Gromov-Milman theorem on concentration phenomenon on the uniformly convex sphere S. Alesker; 3. ... 6. On a generalization of the Busemann-Petty problem Jean Bourgain and Gaoyong Zhang; 7. Isotropic constants of Schatten class spaces … WebMost work so far has been devoted to spaces of nonpositive curvature (CAT(0)-spaces), see, for example, [1]. However, it is also true that Busemann functions or horofunctions have been an important tool in the study of Riemannian manifolds of nonnegative curvature. Hilbert’s geometry on convex sets and Minkowski’s geometry on vector spaces ... WebH. Busemann, The geometry of Finsler spaces, Bull. Am. Math. Soc. H. Busemann, The isoperimetric problem for Minkowski area, Am. Journal Math., vol. 11 (1949), pp. … tempat pelestarian ex situ adalah