Abstract
The conjecture of Blair says that there are no nonflat Riemannian metrics of nonpositive curvature associated with a contact structure. We prove this conjecture for a certain class of contact structures on closed 3-dimensional manifolds and construct a local counterexample.
Citation
Vladimir Krouglov. "A note on the conjecture of Blair in contact Riemannian geometry." Tohoku Math. J. (2) 64 (4) 561 - 567, 2012. https://doi.org/10.2748/tmj/1356038978
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