Abstract
We define and study the asymptotic, characteristic, and principal-direction fields associated to a self-adjoint operator on a smooth surface M endowed with a metric g which is singular along a smooth curve on M.
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Izumiya, S., Tari, F. Self-adjoint operators on surfaces with singular metrics. J Dyn Control Syst 16, 329–353 (2010). https://doi.org/10.1007/s10883-010-9096-6
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DOI: https://doi.org/10.1007/s10883-010-9096-6
Key words and phrases
- Asymptotic curves
- characteristic curves
- lines of principal curvature
- self-adjoint operators
- singular metrics