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math-ph2015★ 1 cited
Existence of Hyperbolic Calorons
Lesley Sibner, Robert Sibner, Yisong Yang
Recent work of Harland shows that the -symmetric, dimensionally-reduced, charge- self-dual Yang--Mills calorons on the hyperbolic space may be obtained t…
math-ph2012★ 2 cited
Hyperbolic Multi-Monopoles With Arbitrary Mass
Lesley M. Sibner, Robert J. Sibner
On a complete manifold, such as Euclidean 3-space or hyperbolic 3-space, the limit at infinity of the norm of the Higgs field is called the mass of the monopole. We show the existe…