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Complex analysis and mathematical physics
October 30, 2018 14:00–16:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)
 


Conformally non-flat Lorentz manifolds and (almost) complex structures

I. V. Maresin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract: For the problem of incompatibility of complex structures of skies situated along a null geodesic on a generic Lorentz space-time, a workaround is developed, consisting of certain holomorphic linear bundle. We also propose a description of conformally non-flat geometry in terms of an almost CR (CauchyRiemann) structure on certain auxiliary bundle. A discussion on application of aforementioned structures beyond Lorentzian geometry is also envisaged.

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