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

Journal Article · Sat Apr 30 00:00:00 EDT 2011 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2011V202N04ABEH004152; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21592551

Bazaikin, Yaroslav V; Malkovich, Eugene G

A system of differential equations with 5 unknowns is fully investigated; this system is equivalent to the existence of a parallel Spin(7)-structure on a cone over a 3-Sasakian manifold. A continuous one-parameter family of solutions to this system is explicitly constructed; it corresponds to metrics with a special holonomy group, SU(4), which generalize Calabi's metrics. Bibliography: 10 titles.

• OSTI ID: 21592551
• Journal Information: Sbornik. Mathematics, Vol. 202, Issue 4; Other Information: DOI: 10.1070/SM2011v202n04ABEH004152; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
COMPLEX MANIFOLDS
CONES
DIFFERENTIAL EQUATIONS
MATHEMATICAL SOLUTIONS
METRICS
RIEMANN SPACE
SPIN
SU-4 GROUPS
ANGULAR MOMENTUM
EQUATIONS
LIE GROUPS
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
SPACE
SU GROUPS
SYMMETRY GROUPS