Compactness for manifolds and integral currents with bounded diameter and volume

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

Compactness for Manifolds and Integral Currents with Bounded Diameter and Volume

By Gromov’s compactness theorem for metric spaces, every uniformly compact sequence of metric spaces admits an isometric embedding into a common compact metric space in which a subsequence converges with respect to the Hausdorff distance. Working in the class or oriented k-dimensional Riemannian manifolds (with boundary) and, more generally, integral currents in metric spaces in the sense of Am...

متن کامل

Collapsed Riemannian Manifolds with Bounded Diameter and Bounded Covering Geometry

We study the class of n-Riemannian manifolds in the title such that the torsion elements in the fundamental group have a definite bound on their orders. Our main result asserts the existence of a kind of generalized Seifert fiber structure on M", for which the fundamental group of fibers injects into that of M". This provides a necessary and sufficient topological condition for a manifold to ad...

متن کامل

Counting Hyperbolic Manifolds with Bounded Diameter

Let ρn(V ) be the number of complete hyperbolic manifolds of dimension n with volume less than V . Burger, Gelander, Lubotzky, and Moses[2] showed that when n ≥ 4 there exist a, b > 0 depending on the dimension such that aV logV ≤ log ρn(V ) ≤ bV logV, for V ≫ 0. In this note, we use their methods to bound the number of hyperbolic manifolds with diameter less than d and show that the number gro...

متن کامل

Local Volume Estimate for Manifolds with L 2 -bounded Curvature

It is important to study asymptotic behavior of complete manifold without the assumption of pointwise Ricci curvature bound. A volume growth and curvature decay result was obtained in [4] for various classes of complete, noncompact, Bach-flat metrics in dimension 4. Some similar results were also claimed in [1]. In this note we consider a more general case, that is, the Bach tensor may not nece...

متن کامل

designing and validating a textbook evaluation questionnaire for reading comprehension ii and exploring its relationship with achievement

در هر برنامه آموزشی، مهم ترین فاکتور موثر بر موفقیت دانش آموزان کتاب درسی است (مک دونو و شاو 2003). در حقیقت ، کتاب قلب آموزش زبان انگلیسی است( شلدن 1988). به دلیل اهمیت والای کتاب به عنوان عنصر ضروری کلاس های آموزش زبان ، کتب باید به دقت ارزیابی و انتخاب شده تا از هرگونه تاثیر منفی بر دانش آموزان جلوگیری شود( لیتز). این تحقیق با طراحی پرسش نامه ارزیابی کتاب که فرصت ارزیابی معتبر را به اساتید د...

15 صفحه اول

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: Calculus of Variations and Partial Differential Equations

سال: 2010

ISSN: 0944-2669,1432-0835

DOI: 10.1007/s00526-010-0346-y