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摘要
The main purpose of this paper is to study the properties of transversally harmonic maps by using Bochner-type formulas. As an application, we obtain the following theorem between compact Sasaki manifolds: Let f be a transversally harmonic map from compact Sasaki manifold M to compact Sasaki manifold M', and M' has a strongly negative transverse curvature. If the rank of d(T) f is at least three at some points of M, then f is contact holomorphic (or contact anti-holomorphic).
- 出版日期2012-3
- 单位武汉大学
