Curvature forms for Lorentz $2$-manifolds
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- by John T. Burns PDF
- Proc. Amer. Math. Soc. 63 (1977), 134-136 Request permission
Abstract:
As a converse to the Gauss-Bonnet theorem for Lorentz metrics on 2-manifolds, we show that if $\bar \Omega$ is a 2-form on the torus ${T^2}$ and ${\smallint _{{T^2}}}\bar \Omega = 0$ then $\bar \Omega$ is the curvature form of some Lorentz metric on ${T^2}$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 134-136
- MSC: Primary 53C50
- DOI: https://doi.org/10.1090/S0002-9939-1977-0470916-6
- MathSciNet review: 0470916