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Muirhead
United States556 Posts
Let M be a connected, compact, smooth manifold without boundary. Let V denote the (real) vector space of all smooth functions from M into the real line. Call a subspace H of V invariant if whenever h is in H and g is a diffeomorphism of M then h composed with g is in H. Prove that the only invariant subspaces are {0}, V, and the set of constant functions on M.  | ||
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evanthebouncy!
United States12796 Posts
and to ur quote: Algebraic Geometry or Starcraft? Algebraic Geometry any day. | ||
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Spenguin
Australia3316 Posts
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Muirhead
United States556 Posts
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JacobDaKung
Sweden132 Posts
The specifics Im not sure about, but I think this is the way to go. /Jacob | ||
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