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@article{TRSPY_2008_263_a1, author = {Ya. V. Bazaikin}, title = {Noncompact {Riemannian} {Spaces} with the {Holonomy} {Group} $\operatorname{Spin}(7)$ and {3-Sasakian} {Manifolds}}, journal = {Informatics and Automation}, pages = {6--17}, publisher = {mathdoc}, volume = {263}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_263_a1/} }
TY - JOUR AU - Ya. V. Bazaikin TI - Noncompact Riemannian Spaces with the Holonomy Group $\operatorname{Spin}(7)$ and 3-Sasakian Manifolds JO - Informatics and Automation PY - 2008 SP - 6 EP - 17 VL - 263 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2008_263_a1/ LA - ru ID - TRSPY_2008_263_a1 ER -
Ya. V. Bazaikin. Noncompact Riemannian Spaces with the Holonomy Group $\operatorname{Spin}(7)$ and 3-Sasakian Manifolds. Informatics and Automation, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 6-17. http://geodesic.mathdoc.fr/item/TRSPY_2008_263_a1/
[1] Bazaikin Ya. V., “O novykh primerakh polnykh nekompaktnykh metrik s gruppoi golonomii $\operatorname{Spin}(7)$”, Sib. mat. zhurn., 48:1 (2007), 11–32 | MR | Zbl
[2] Bryant R. L., “Metrics with exceptional holonomy”, Ann. Math., 126 (1987), 525–576 | DOI | MR | Zbl
[3] Bryant R. L., Salamon S. L., “On the construction of some complete metrics with exceptional holonomy”, Duke Math. J., 58 (1989), 829–850 | DOI | MR | Zbl
[4] Joyce D. D., “Compact 8-manifolds with holonomy $\operatorname{Spin}(7)$”, Invent. math., 123:3 (1996), 507–552 | DOI | MR | Zbl
[5] Cvetič M., Gibbons G. W., Lü H., Pope C. N., “New complete non-compact $\operatorname{Spin}(7)$ manifolds”, Nucl. Phys. B, 620 (2002), 29–54 | DOI | MR | Zbl
[6] Cvetič M., Gibbons G. W., Lü H., Pope C. N., “New cohomogeneity one metrics with $\operatorname{Spin}(7)$ holonomy”, J. Geom. Phys., 49 (2004), 350–365 | DOI | MR | Zbl
[7] Cvetič M., Gibbons G. W., Lü H., Pope C. N., “Cohomogeneity one manifolds of $\operatorname{Spin}(7)$ and $G_2$ holonomy”, Phys. Rev. D, 65:10 (2002), 106004 | DOI | MR
[8] Gukov S., Sparks J., “$M$-theory on $\operatorname{Spin}(7)$ manifolds”, Nucl. Phys. B, 625 (2002), 3–69 | DOI | MR | Zbl
[9] Kanno H., Yasui Y., “On $\operatorname{Spin}(7)$ holonomy metric based on $\operatorname{SU}(3)/U(1)$”, J. Geom. Phys., 43 (2002), 293–309 | DOI | MR | Zbl
[10] Kanno H., Yasui Y., “On $\operatorname{Spin}(7)$ holonomy metric based on $\operatorname{SU}(3)/U(1)$. II”, J. Geom. Phys., 43 (2002), 310–326 | DOI | MR | Zbl
[11] Gray A., “Weak holonomy groups”, Math. Ztschr., 123 (1971), 290–300 | DOI | MR | Zbl
[12] Boyer C., Galicki K., “3-Sasakian manifolds”, Surveys in differential geometry: Essays on Einstein manifolds, Surv. Diff. Geom., 6, Intern. Press, Boston, MA, 1999, 123–184 | MR | Zbl
[13] Reidegeld F., “$\operatorname{Spin}(7)$-manifolds of cohomogeneity one”, Special geometries in mathematical physics, Workshop, Kuehlungsborn, 2008
[14] Bérard-Bergery L., “Sur de nouvelles variétés riemanniennes d'Einstein”, Inst. Élie Cartan. Nancy, 6 (1982), 1–60 | MR
[15] Page D. N., Pope C. N., “Inhomogeneous Einstein metrics on complex line bundles”, Class. Quantum Gravity, 4:2 (1987), 213–225 | DOI | MR | Zbl