A Generalized Mass Involving Higher Order Symmetric Functions of the Curvature Tensor
نویسندگان
چکیده
منابع مشابه
A generalized mass involving higher order symmetric function of the curvature tensor
We define a generalized mass for asymptotically flat manifolds using some higher order symmetric function of the curvature tensor. This mass is nonnegative when the manifold is locally conformally flat and the σk curvature vanishes at infinity. In addition, with the above assumptions, if the mass is zero, then, near infinity, the manifold is isometric to a Euclidean end.
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2013
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-013-0230-3