کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606392 1337700 2011 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Examples of almost Einstein structures on products and in cohomogeneity one
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Examples of almost Einstein structures on products and in cohomogeneity one
چکیده انگلیسی

Almost Einstein manifolds are conformally Einstein up to a scale singularity, in general. This notion comes from conformal tractor calculus. In the current paper we discuss almost Einstein structures on closed Riemannian product manifolds and on 4-manifolds of cohomogeneity one. Explicit solutions are found by solving ordinary differential equations. In particular, we construct three families of closed 4-manifolds with almost Einstein structure corresponding to the boundary data of certain unimodular Lie groups. Two of these families are Bach-flat, but neither (globally) conformally Einstein nor half conformally flat. On products with a 2-sphere we find an exotic family of almost Einstein structures with hypersurface singularity as well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 29, Issue 3, June 2011, Pages 440–462
نویسندگان
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