The Yamabe problem on quaternionic contact manifolds |
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Authors: | Wei Wang |
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Affiliation: | (1) Department of Mathematics, Zhejiang University, Xixi campus, Zhejiang, 310028, P.R. China |
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Abstract: | By constructing normal coordinates on a quaternionic contact manifold M, we can osculate the quaternionic contact structure at each point by the standard quaternionic contact structure on the quaternionic Heisenberg group. By using this property, we can do harmonic analysis on general quaternionic contact manifolds, and solve the quaternionic contact Yamabe problem on M if its Yamabe invariant satisfies λ(M) < λ(ℍ n ). Mathematics Subject Classification (2000) 53C17, 53D10, 35J70 |
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Keywords: | Quaternionic contact structure The quaternionic Heisenberg group Quaternionic contact Yamabe problem Normal coordinates |
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