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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
vote
2
answers
235
views
Lorentzian metrics on a disk up to conformal equivalence
Is it correct that a disk endowed with a metric of Lorentzian signature (smooth up to the boundary) is always conformally equivalent to some simply connected domain on Minkowski plane (with the metric …
5
votes
1
answer
561
views
Formality of de Rham algebra for two-dimensional closed surfaces
Is it possible to embed de Rham cohomology of a two-dimensional closed surface of genus $g\geq 2$ into the differential graded algebra of differential forms (with de Rham differential and wedge produc …