Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773690 | Differential Geometry and its Applications | 2017 | 5 Pages |
Abstract
We show that no exotic R4 admits a complete Riemannian metric with uniformly positive isotropic curvature and with bounded geometry. This is essentially a corollary of the main result in [7], and was stated in [8] without proof. In the process of the proof we also show that the diffeomorphism type of an infinite connected sum of some connected smooth n-manifolds (nâ¥2) according to a locally finite graph does not depend on the gluing maps used.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hong Huang,