Sobolev Metrics on the Manifold of All Riemannian Metrics
نویسندگان
چکیده
منابع مشابه
Sobolev Metrics on the Riemannian Manifold of All Riemannian Metrics
On the manifold M(M) of all Riemannian metrics on a compact manifold M one can consider the natural L-metric as decribed first by [10]. In this paper we consider variants of this metric which in general are of higher order. We derive the geodesic equations, we show that they are well-posed under some conditions and induce a locally diffeomorphic geodesic exponential mapping. We give a condition...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2013
ISSN: 0022-040X
DOI: 10.4310/jdg/1367438647