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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2011 Volume 52, Number 1, Pages 95–99 (Mi smj2180)
This article is cited in 4 papers

On new explicit Riemannian $SU(2(n+1))$-holonomy metrics

E. G. Malkovich

Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk

Abstract: Generalizing the Calabi metrics in dimension $4(n+1)$, we construct a family of complete noncompact Ricci-flat metrics with holonomy $SU(2(n+1))$ in explicit algebraic form.

Keywords: holonomy, Calabi metric.

UDC: 514.763.3

Received: 25.07.2010


 English version: Siberian Mathematical Journal, 2011, 52:1, 74–77

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© Steklov Math. Inst. of RAS, 2024