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- W2043914488 abstract "We use analytic continuation to derive the Euler–Lagrange equations associated to the Pfaffian in indefinite signature ( p , q ) directly from the corresponding result in the Riemannian setting. We also use analytic continuation to derive the Chern–Gauss–Bonnet theorem for pseudo-Riemannian manifolds with boundary directly from the corresponding result in the Riemannian setting. Complex metrics on the tangent bundle play a crucial role in our analysis and we obtain a version of the Chern–Gauss–Bonnet theorem in this setting for certain complex metrics." @default.
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- W2043914488 date "2015-02-01" @default.
- W2043914488 modified "2023-09-29" @default.
- W2043914488 title "Analytic continuation, the Chern–Gauss–Bonnet theorem, and the Euler–Lagrange equations in Lovelock theory for indefinite signature metrics" @default.
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- W2043914488 doi "https://doi.org/10.1016/j.geomphys.2014.11.006" @default.
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