Complete Riemannian metrics with holonomy group G 2 on deformations of cones over S 3 × S 3

Author:

Bazaikin Ya. V.,Bogoyavlenskaya O. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference12 articles.

1. Ya. V. Bazaikin, “On new examples of complete noncompactmetrics with Spin(7)-holonomy group,” Sibirsk. Mat. Zh. 48(1), 11–32 (2007) [SiberianMath. J. 48 (1), 8–25 (2007)].

2. Ya. V. Bazaikin, “Noncompact Riemann spaces with the holonomy group Spin(7) and 3-Sasakian manifolds,” in Trudy Mat. Inst. Steklov, Vol. 263: Geometry, Topology, and Mathematical Physics. I, Collection of papers dedicated to the 70th anniversary of Academician S. P. Novikov (MAIK, Moscow, 2008), pp. 6–17 [in Russian] [Proc. Steklov Inst. Math. 263 (2008)].

3. Ya. V. Bazaikin and E.G. Mal’kovich, “Spin(7)-structures on complex line bundles and explicit Riemannian metrics with the holonomy group SU(4),” Sb. Math. 202 (2011), no. 3–4, 467–493 Mat. Sb. 202 (4), 3–30 (2011) [Sb. Math. 202 (4), 467–493 (2011)].

4. E. G. Mal’kovich, “On new explicit Riemannian SU(2(n+1))-holonomy metrics,” Sibirsk. Mat. Zh. 52(1), 95–99 (2011) [Siberian Math. J. 52 (1), 74–77 (2011)].

5. A. Brandhuber, J. Gomis, S. S. Gubser, and S. Gukov, “Gauge theory at large N and new G 2 holonomy metrics,” Nuclear Phys. B 611(1–3), 179–204 (2001); arXiv: hep-th/0106034v2.

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1. Infinitely many new families of complete cohomogeneity one G$_2$-manifolds: G$_2$ analogues of the Taub–NUT and Eguchi–Hanson spaces;Journal of the European Mathematical Society;2021-03-08

2. $$S^1$$-quotient of Spin(7)-structures;Annals of Global Analysis and Geometry;2020-03-20

3. $$\mathrm{G}_2$$-Instantons on Noncompact $$\mathrm{G}_2$$-Manifolds: Results and Open Problems;Lectures and Surveys on G2-Manifolds and Related Topics;2020

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