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Mok, Ngaiming; Siu, Yum-Tong; Yeung, Sai-Kee

Geometric superrigidity. (English) Zbl 0808.53043

Invent. Math. 113, No. 1, 57-83 (1993).
The most general results in the theory of geometric superrigidity are proved. The proof of these results consists of a general Bochner type formula obtained by a simple integration by parts and of the verification of certain inequalities for the eigenvalues of a certain quadratic form defined from the invariant curvature tensor.
Reviewer: A.Fleischer (München)

Cited in 2 Reviews
Cited in 37 Documents

MSC:

53C20 Global Riemannian geometry, including pinching
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Keywords:

harmonic map; sectional curvature; Bochner formula; graded Lie group; geometric superrigidity
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Full Text: DOI EuDML

References:

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