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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 263, Pages 6–17 (Mi tm780)  
This article is cited in 9 scientific papers (total in 9 papers)

Noncompact Riemannian Spaces with the Holonomy Group Spin(7) and 3-Sasakian Manifolds

Ya. V. Bazaikin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (204 kB) Citations (9)
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Abstract: We complete the study of the existence of Riemannian metrics with Spin(7) holonomy that smoothly resolve standard cone metrics on noncompact manifolds and orbifolds related to 7-dimensional 3-Sasakian spaces.
Received in March 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 263, Pages 2–12
DOI: https://doi.org/10.1134/S0081543808040020
Bibliographic databases:
UDC: 514.764.214
Language: Russian
Citation: Ya. V. Bazaikin, “Noncompact Riemannian Spaces with the Holonomy Group Spin(7) and 3-Sasakian Manifolds”, Geometry, topology, and mathematical physics. I, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 263, MAIK Nauka/Interperiodica, Moscow, 2008, 6–17; Proc. Steklov Inst. Math., 263 (2008), 2–12
Citation in format AMSBIB
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\by Ya.~V.~Bazaikin
\paper Noncompact Riemannian Spaces with the Holonomy Group $\operatorname{Spin}(7)$ and 3-Sasakian Manifolds
\inbook Geometry, topology, and mathematical physics.~I
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 263
\pages 6--17
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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Linking options:
  • https://www.mathnet.ru/eng/tm780
  • https://www.mathnet.ru/eng/tm/v263/p6
    • This publication is cited in the following 9 articles:
    1. Chi H., “Spin(7) Metrics of Cohomogeneity One With Aloff-Wallach Spaces as Principal Orbits”, J. Geom. Anal., 32:5 (2022), 144  crossref  mathscinet  isi  scopus
    2. Fabian Lehmann, “Geometric Transitions with Spin(7) Holonomy via a Dynamical System”, Commun. Math. Phys., 394:1 (2022), 309  crossref
    3. Foscolo L., “Complete Noncompact Spin(7) Manifolds From Self-Dual Einstein 4-Orbifolds”, Geom. Topol., 25:1 (2021), 339–408  crossref  mathscinet  isi  scopus
    4. Conti D., Perolini D., “Linear Perturbations of Metrics With Holonomy Spin(7)”, Differ. Geom. Appl., 78 (2021), 101792  crossref  mathscinet  isi
    5. O. A. Bogoyavlenskaya, “O deformatsiyakh metrik s gruppoi golonomii Spin(3,4) na konusakh nad psevdo-rimanovymi mnogoobraziyami”, Sib. elektron. matem. izv., 12 (2015), 940–946  mathnet  crossref
    6. Ya. V. Bazaikin, O. A. Bogojavlenskaja, “Complete Riemannian Metrics with Holonomy Group G2 on Deformations of Cones over S3×S3”, Math. Notes, 93:5 (2013), 643–653  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    7. E. G. Malkovich, “On new explicit Riemannian SU(2(n+1))-holonomy metrics”, Siberian Math. J., 52:1 (2011), 74–77  mathnet  crossref  mathscinet  isi
    8. Ya. V. Bazaikin, E. G. Malkovich, “Spin(7)-structures on complex linear bundles and explicit Riemannian metrics with holonomy group SU(4)”, Sb. Math., 202:4 (2011), 467–493  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. Reidegeld F., “Exceptional holonomy and Einstein metrics constructed from Aloff-Wallach spaces”, Proc. London Math. Soc., 102:6 (2011), 1127–1160  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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