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Francois Ziegler
Francois Ziegler
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eaven even dimensional manifold homotopic to a symplectic or complex manifold

I have the following question: Let $M$ be a eavenan even dimensional Riemannian manifold. Under which conditions does there exists a homotopy to some symplectic manifold? is there any chance that such a homotopy exists even if $M$ is not symplectic? how does the homotopy look like? is it differentiable, only continous ... ? is there any chance that $M$ is homotopic to a complex manifold? Is there any reference in this direction ?

greetings mirta

eaven dimensional manifold homotopic to a symplectic or complex manifold

I have the following question: Let $M$ be a eaven dimensional Riemannian manifold. Under which conditions does there exists a homotopy to some symplectic manifold? is there any chance that such a homotopy exists even if $M$ is not symplectic? how does the homotopy look like? is it differentiable, only continous ... ? is there any chance that $M$ is homotopic to a complex manifold? Is there any reference in this direction ?

greetings mirta

even dimensional manifold homotopic to a symplectic or complex manifold

I have the following question: Let $M$ be an even dimensional Riemannian manifold. Under which conditions does there exists a homotopy to some symplectic manifold? is there any chance that such a homotopy exists even if $M$ is not symplectic? how does the homotopy look like? is it differentiable, only continous ... ? is there any chance that $M$ is homotopic to a complex manifold? Is there any reference in this direction ?

greetings mirta

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mirta
mirta
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eaven dimensional manifold homotopic to a symplectic or complex manifold

I have the following question: Let $M$ be a eaven dimensional Riemannian manifold. Under which conditions does there exists a homotopy to some symplectic manifold? is there any chance that such a homotopy exists even if $M$ is not symplectic? how does the homotopy look like? is it differentiable, only continous ... ? is there any chance that $M$ is homotopic to a complex manifold? Is there any reference in this direction ?

greetings mirta