The global structure of locally convex hypersurfaces in Finsler—Hadamard manifolds
نویسندگان
چکیده
منابع مشابه
Affine complete locally convex hypersurfaces
An open problem in affine geometry is whether an affine complete locally uniformly convex hypersurface in Euclidean (n + 1)-space is Euclidean complete for n ≥ 2. In this paper we give the affirmative answer. As an application, it follows that an affine complete, affine maximal surface in R3 must be an elliptic paraboloid.
متن کاملOn Locally Convex Hypersurfaces with Boundary
In this paper we give some geometric characterizations of locally convex hypersurfaces. In particular, we prove that for a given locally convex hypersurface M with boundary, there exists r > 0 depending only on the diameter of M and the principal curvatures of M on its boundary, such that the r-neighbourhood of any given point on M is convex. As an application we prove an existence theorem for ...
متن کاملthe role of thematic structure in comprehending spoken language
in fact this study is concerned with the relationship between the variation in thematice structure and the comprehension of spoken language. so the study focused on the following questions: 1. is there any relationship between thematic structure and the comprehension of spoken language? 2. which of the themes would have greated thematic force and be easier for the subjects to comprehend? accord...
15 صفحه اولthe effects of changing roughness on the flow structure in the bends
flow in natural river bends is a complex and turbulent phenomenon which affects the scour and sedimentations and causes an irregular bed topography on the bed. for the reason, the flow hydralics and the parameters which affect the flow to be studied and understand. in this study the effect of bed and wall roughness using the software fluent discussed in a sharp 90-degree flume bend with 40.3cm ...
Bornological Completion of Locally Convex Cones
In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.
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: Mathematical Notes
سال: 2010
ISSN: 0001-4346,1573-8876
DOI: 10.1134/s0001434610010232