Noncompact Riemannian Spaces with the Holonomy Group $\operatorname{Spin}(7)$ and 3-Sasakian Manifolds
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 6-17
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We complete the study of the existence of Riemannian metrics with $\operatorname{Spin}(7)$ holonomy that smoothly resolve standard cone metrics on noncompact manifolds and orbifolds related to 7-dimensional 3-Sasakian spaces.
@article{TM_2008_263_a1,
author = {Ya. V. Bazaikin},
title = {Noncompact {Riemannian} {Spaces} with the {Holonomy} {Group} $\operatorname{Spin}(7)$ and {3-Sasakian} {Manifolds}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {6--17},
publisher = {mathdoc},
volume = {263},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_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 - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY - 2008
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Ya. V. Bazaikin. Noncompact Riemannian Spaces with the Holonomy Group $\operatorname{Spin}(7)$ and 3-Sasakian Manifolds. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 6-17. http://geodesic.mathdoc.fr/item/TM_2008_263_a1/