Gursky-Streets Metric On Four-dimensional Manifolds With Boundary

Posted on:2024-01-10

Degree:Master

Type:Thesis

Country:China

Candidate:X B Wang

Full Text:PDF

GTID:2530307106951289

Subject:Basic mathematics

Abstract/Summary:

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In[8],Gursky and Streets introduced the following metric structure(?) They proved that the sectional curvature of this metric is nonpositive.In this paper,we consider the G-S metric on the manifolds with boundary,and we prove that when the boundary is totally geodesic,the sectional curvature of this metric is also nonpositive.

Keywords/Search Tags:

σ_k-curvature, conformal class, Schouten tensor

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