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This tag is used if a reference is needed in a paper or textbook on a specific result.

6 votes
1 answer
247 views

Reference request: $\operatorname{Sym}^2_0(T^*M) \simeq \Lambda_- \otimes \Lambda_+$

I am looking for proof of the "well-known" result that for a $4$-dimensional Riemannian manifold $(M, g)$, we have an isomorphism $$ \operatorname{Sym}^2_0(T^*M) \simeq \Lambda_- \otimes \Lambda_+ $$ …
S.T.'s user avatar
  • 103
9 votes
1 answer
612 views

Explicit construction of a (the?) dual symmetric space

I am looking for a reference, proof or disproof of the fact that every Riemannian globally symmetric space of compact (non-compact) type has a "dual", which is of non-compact (compact) type. More pr …
S.T.'s user avatar
  • 103