Manifolds with almost nonnegative curvature operator and principal bundles

作者：Herrmann Martin; Sebastian Dennis; Tuschmann Wilderich^*

来源：Annals of Global Analysis and Geometry, 2013, 44(4): 391-399.

DOI：10.1007/s10455-013-9372-2

• Curvature operator
• Nonnegative curvature
• Principal bundle

We study closed manifolds with almost nonnegative curvature operator (ANCO) and derive necessary and/or sufficient conditions for the total spaces of principal bundles over (A)NCO manifolds to admit ANCO connection metrics. In particular, we provide first examples of closed simply connected ANCO manifolds which do not admit metrics with nonnegative curvature operator.

• 出版日期2013-12