Heterogeneous Riemannian Manifolds
نویسنده
چکیده
We define a Riemannian metric g on a manifold M to be heterogeneous if no two distinct points of M have isometric neighborhoods. Intuitively, a heterogeneous metric is as far as possible from being homogeneous. Heterogeneity can be reformulated in terms of a multijet transversality condition so that by an application of the standard transversality theorems, the genericity of heterogeneous metrics is established.
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2010 شماره
صفحات -
تاریخ انتشار 2010