منابع مشابه
Exponential Growth of Spaces without Conjugate Points
An n-dimensional polyhedral space is a length space M (with intrinsic metric) triangulated into n-simplexes with smooth Riemannian metrics. In the definitions below, we assume that the triangulation is fixed. The boundary of M is the union of the (n− 1)-simplexes of the triangulation that are adjacent to only one (n− 1)-simplex. As usual, a geodesic in M is a naturally parametrized locally shor...
متن کاملThe fundamental group of compact manifolds without conjugate points
The fundamental group of compact manifolds without conjugate points.
متن کاملPartitioning points by parallel planes
A new upper bound is given on the number of ways in which a set of N points in Rn can be partitioned by k parallel hyperplanes. This bound improves upon a result of Olafsson and Abu-Mostafa [IEEE Trans. Pattern Analysis and Machine Intelligence 10(2), 1988: 277-281]; it agrees with the known (tight) result for the case k = 1; and it is, for fixed k and n, tight to within a constant. A previousl...
متن کاملUnderstanding Conjugate Planes and Köhler Illumination
The development of advanced light microscopy techniques in recent years has been quite impressive. Cellular biologists are now able to visualize processes such as protein development in real time due to advanced techniques such as Fluorescence Recovery After Photobleaching (FRAP); they are no longer limited to indirect biochemical tests to determine sequences of biological events. However, desp...
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: Journal of Differential Geometry
سال: 1985
ISSN: 0022-040X
DOI: 10.4310/jdg/1214439720