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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 4, Pages 823–828 (Mi smj2241)  
A new equation on the Calabi–Yau metrics in low dimensions

D. V. Egorov

North-Eastern Federal University, Yakutsk, Russia
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Abstract: We obtain an equation on the metrics of compact Kähler manifolds in dimensions 2 and 3, whose solutions are Calabi–Yau metrics. This equation differs from the Monge–Ampère equation considered by Calabi [1] and Yau [2].
Keywords: Calabi–Yau manifold, Monge–Ampère equation, symplectic structure.
Received: 10.09.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 4, Pages 651–654
DOI: https://doi.org/10.1134/S0037446611040094
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: D. V. Egorov, “A new equation on the Calabi–Yau metrics in low dimensions”, Sibirsk. Mat. Zh., 52:4 (2011), 823–828; Siberian Math. J., 52:4 (2011), 651–654
Citation in format AMSBIB
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