منابع مشابه
Tangent Cut Loci on Surfaces
Given a smooth compact Riemannian surface, we prove that if a suitable convexity assumption on the tangent focal cut loci is satisfied, then all injectivity domains are semiconvex.
متن کاملLoki: Software for Computing Cut Loci
Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opin...
متن کاملCycle-cut decomposition and log-based reconciliation
Optimistic reconciliation allows, multiple update of shared data without synchronization. The assumption is that the vast majority of the actions will not conflict. In those systems, write availability is raised in the presence of network failures, high latencies or parallel development. However, in order to remain consistent, optimistic systems repair divergences. To produce a new consistent s...
متن کاملMetric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfolding into R, so the metric space S is obtained from a closed (usually nonconvex) polyhedral ball in R by identifying pairs of boundary faces isometrically. Our existence proof exploits geodesic flow away from a source ...
متن کاملCut Loci and Distance Spheres on Alexandrov Surfaces
The purpose of the present paper is to investigate the structure of distance spheres and cut locus C(K) to a compact set K of a complete Alexandrov surface X with curvature bounded below. The structure of distance spheres around K is almost the same as that of the smooth case. However C(K) carries different structure from the smooth case. As is seen in examples of Alexandrov surfaces, it is pro...
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: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1977-0478066-x