Abstract
The approach of J.Douglas to Plateau’s problem is here reviewed with an eye to physical applications. It is shown that the functional of Douglas is related to the wave function of the string in a manner which closely resembles the one proposed by Hawking for the wave function of the Universe.
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References
J. Douglas, “Solution of the problem of Plateau”, Trans.Am.Math.Soc., Jan. 1931.
J. Douglas, “Minimal surfaces of higher topological structure”, Annals of Math. Vol.40, No.1, Jan. 1939.
M.J. Bowick and S.G. Rajeev, “The holomorphic geometry of closed bosonic string theory and Diff S1 / S1”. MIT preprint, Submitted to Nuclear Physics B.
V. Guillemin, B.Kostant, and S.Sternberg, “Douglas’ Solution of the Plateau Problem”, Preprint.
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© 1988 Springer Science+Business Media Dordrecht
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Regge, T. (1988). On Strings and J.Douglas Variational Principle. In: Bleuler, K., Werner, M. (eds) Differential Geometrical Methods in Theoretical Physics. NATO ASI Series, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7809-7_7
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DOI: https://doi.org/10.1007/978-94-015-7809-7_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8459-0
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