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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 …
pmnev's user avatar
  • 63
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 …
pmnev's user avatar
  • 63