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Francois Ziegler
Francois Ziegler
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Consider a non-compact manifold $M$.

Does there always exist a RiemmannianRiemannian metric on $M$ such that the isometry group is non-compact?

Consider a non-compact manifold $M$.

Does there always exist a Riemmannian metric on $M$ such that the isometry group is non-compact?

Consider a non-compact manifold $M$.

Does there always exist a Riemannian metric on $M$ such that the isometry group is non-compact?

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o r
o r
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Possible isometry groups of open manifolds

Consider a non-compact manifold $M$.

Does there always exist a Riemmannian metric on $M$ such that the isometry group is non-compact?