E. G. Malkovich

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S p in (7)

-structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy

6 citations · 6 across the 3 of their papers we have counts for

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math.DG2010

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

E. G. Malkovich

We construct in an explicit algebraic form a family of complete noncompact Ricci-flat metrics which generalize Calabi metrics in real dimension $4 (n + 1)$ and with holonomy $SU(2(n+1…

math.DG2010★ 6 cited

The $S p in (7)$ -structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy

Ya. V. Bazaikin, E. G. Malkovich

We completely explore the system of ODE's which is equivalent to the existence of a parallel $S p in (7)$ -structure on the cone over a 7-dimensional 3-Sasakian manifold. The one-dimen…

math.DG2008

$G_{2}$ -Holonomy Metrics Connected with a 3-Sasakian Manifold

Yaroslav V. Bazaikin, Eugene G. Malkovich

We construct complete noncompact Riemannian metrics with $G_{2}$ -holonomy on noncompact orbifolds that are $R^{3}$ -bundles with the twistor space $Z$ as a spherical fibe…

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

The Spin(7)-structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy

G2​-Holonomy Metrics Connected with a 3-Sasakian Manifold

The $S p in (7)$ -structures on complex line bundles and explicit Riemannian metrics with SU(4)-holonomy

$G_{2}$ -Holonomy Metrics Connected with a 3-Sasakian Manifold