Behaviour of distance functions in Hilbert–Finsler geometry
نویسندگان
چکیده
منابع مشابه
Positive definite functions in distance geometry
I. J. Schoenberg proved that a function is positive definite in the unit sphere if and only if this function is a nonnegative linear combination of Gegenbauer polynomials. This fact play a crucial role in Delsarte’s method for finding bounds for the density of sphere packings on spheres and Euclidean spaces. One of the most excited applications of Delsarte’s method is a solution of the kissing ...
متن کاملa contrastive study of rhetorical functions of citation in iranian and international elt scopus journals
writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...
Critical points of distance functions and applications to geometry
8. Introduction Critical points of distance functions Toponogov's theorem; first application:a Background on finiteness theorems Homotopy Finiteness Appendix. Some volume estimates Betti numbers and rank Appendix: The generalized Mayer-Vietoris estimate Rank, curvature and diameter Ricci curvature, volume and the Laplacian Appendix. The maximum principle Ricci curvature, diameter growth and fin...
متن کاملDistance Geometry in Active Structures
Distance constraints are an emerging formulation that offers intuitive geometrical interpretation of otherwise complex problems. It has applications in problems such as position and singularity analysis and path planning of mechanisms and structures. This paper reviews the recent advances in Distance Geometry providing a unified view of these apparently disparate problems. This survey reviews a...
متن کاملDistance Geometry in Linearizable Norms
Distance Geometry puts the concept of distance at its center. The basic problem in distance geometry could be described as drawing an edge-weighted undirected graph in R for some given K such that the positions for adjacent vertices have distance which is equal to the corresponding edge weight. As we are unaware of any work in this field using any other norm but `2, we move some first steps usi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2004
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00052-4