Flexibility of entropies for surfaces of negative curvature
نویسندگان
چکیده
منابع مشابه
Complete surfaces with negative extrinsic curvature
N. V. Efimov [Efi64] proved that there is no complete, smooth surface in R with uniformly negative curvature. We extend this to isometric immersions in a 3-manifold with pinched curvature: if M has sectional curvature between two constants K2 and K3, then there exists K1 < min(K2, 0) such that M contains no smooth, complete immersed surface with curvature below K1. Optimal values of K1 are dete...
متن کاملstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
The Circle Problem on Surfaces of Variable Negative Curvature
In this note we study the problem of orbit counting for certain groups of isometries of simply connected surfaces with possibly variable negative curvature. We show that if N(t) denotes the orbit counting function for a convex co-compact group of isometries then for some constants C, h > 0, N(t) ∼ Ceht, as t→ +∞.
متن کاملRegular minimal nets on surfaces of constant negative curvature
The problem of classification of closed local minimal nets on surfaces of constant negative curvature has been formulated in [3], [4] in the context of the famous Plateau problem in the one-dimensional case. In [6] an asymptotic for log ♯(W (g)) as g → +∞ where g is genus and W (g) is the set of regular single-face closed local minimal nets on surfaces of curvature −1 has been obtained. It has ...
متن کاملMonge-ampère Equations and Surfaces with Negative Gaussian Curvature
In [24], we studied the singularities of solutions of Monge-Ampère equations of hyperbolic type. Then we saw that the singularities of solutions do not coincide with the singularities of solution surfaces. In this note we first study the singularities of solution surfaces. Next, as the applications, we consider the singularities of surfaces with negative Gaussian curvature. Our problems are as ...
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: Israel Journal of Mathematics
سال: 2019
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-019-1882-6