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Moduli and extremal metrics on nonorientable and twisted Riemannian manifolds

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Abstract

We present results on the moduli and extremal metrics of families of curves on certain nonorientable or twisted Riemannian manifolds. We also introduce and investigate weighted l-moduli of families of curves and the corresponding extremal metrics.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    P. M. Tamrazov

Authors
  1. P. M. Tamrazov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 10, pp. 1388–1398, October, 1998.

This work was partially supported by the State Foundation for Fundamental Research at the Ministry of Science and Technology of Ukraine (project No. 1.4/263) and by INTAS (grant No. 94-1474).

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Tamrazov, P.M. Moduli and extremal metrics on nonorientable and twisted Riemannian manifolds. Ukr Math J 50, 1586–1598 (1998). https://doi.org/10.1007/BF02513490

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  • DOI: https://doi.org/10.1007/BF02513490

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