کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606391 1337700 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Localized gluing of Riemannian metrics in interpolating their scalar curvature
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Localized gluing of Riemannian metrics in interpolating their scalar curvature
چکیده انگلیسی

We show that two smooth nearby Riemannian metrics can be glued interpolating their scalar curvature. The resulting smooth metric is the same as the starting ones outside the gluing region and has scalar curvature interpolating between the original ones. One can then glue metrics while maintaining inequalities satisfied by the scalar curvature. We also glue asymptotically Euclidean metrics to Schwarzschild ones and the same for asymptotically Delaunay metrics, keeping bounds on the scalar curvature, if any. This extends the Corvino gluing near infinity to non-constant scalar curvature metrics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 3, June 2011, Pages 433–439
نویسندگان
,