Convex functions on complete noncompact manifolds : differentiable structure

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

How to Define ”convex Functions” on Differentiable Manifolds

In the paper a class of families F(M) of functions defined on differentiable manifolds M with the following properties: 1F . if M is a linear manifold, then F(M) contains convex functions, 2F . F(·) is invariant under diffeomorphisms, 3F . each f ∈ F(M) is differentiable on a dense Gδ-set, is investigated.

متن کامل

Approximations of differentiable convex functions on arbitrary convex polytopes

Let Xn := {xi}ni=0 be a given set of (n + 1) pairwise distinct points in R (called nodes or sample points), let P = conv(Xn), let f be a convex function with Lipschitz continuous gradient on P and λ := {λi}ni=0 be a set of barycentric coordinates with respect to the point set Xn. We analyze the error estimate between f and its barycentric approximation:

متن کامل

Minkowski Problems for Complete Noncompact Convex Hypersurfaces

LetX be a compact, strictly convex C-hypersurface in the (n+1)-dimensional Euclidean space R. The Gauss map ofX maps the hypersurface one-to-one and onto the unit n-sphere S. One may parametrize X by the inverse of the Gauss map. Consequently, the Gauss curvature can be regarded as a function on S. The classical Minkowski problem asks conversely when a positive function K on S is the Gauss curv...

متن کامل

Uniqueness of Solutions of Ricci Flow on Complete Noncompact Manifolds

We prove the uniqueness of solutions of the Ricci flow on complete noncompact manifolds with bounded curvatures using the De Turck approach. As a consequence we obtain a correct proof of the existence of solution of the Ricci harmonic flow on complete noncompact manifolds with bounded curvatures. Recently there is a lot of study on the Ricci flow on manifolds by R. Hamilton [H1–6], S.Y. Hsu [Hs...

متن کامل

On Complete Noncompact Kähler Manifolds with Positive Bisectional Curvature

We prove that a complete noncompact Kähler manifold Mof positive bisectional curvature satisfying suitable growth conditions is biholomorphic to a pseudoconvex domain of C and we show that the manifold is topologically R2n. In particular, when M is a Kähler surface of positive bisectional curvature satisfying certain natural geometric growth conditions, it is biholomorphic to C2.

متن کامل

ذخیره 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: Annales scientifiques de l'École normale supérieure

سال: 1981

ISSN: 0012-9593,1873-2151

DOI: 10.24033/asens.1410