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Energy quantization for triholomorphic maps

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Abstract.

Let \(\{u_n\}\subset H^1(M, N)\) be weakly convergent stationary triholomorphic maps from a hyperkähler manifold M to another hyperkähler manifold N. We establish an energy quantization for the density function of the defect measure on the concentration set.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, KY 40506, Lexington, USA

    Changyou Wang

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  1. Changyou Wang
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Received: 10 July 2002, Accepted: 30 September 2002, Published online: 17 December 2002

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Wang, C. Energy quantization for triholomorphic maps. Cal Var 18, 145–158 (2003). https://doi.org/10.1007/s00526-002-0185-6

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  • DOI: https://doi.org/10.1007/s00526-002-0185-6

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