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Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature

Publication ,  Journal Article
Dong, C
Published in: Journal of Geometric Analysis
June 1, 2023

In this note, we prove that for a complete noncompact three-dimensional Riemannian manifold with bounded sectional curvature, if it has uniformly positive scalar curvature, then there is a uniform lower bound on the injectivity radius.

Duke Scholars

Published In

Journal of Geometric Analysis

DOI

ISSN

1050-6926

Publication Date

June 1, 2023

Volume

33

Issue

6

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Dong, C. (2023). Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature. Journal of Geometric Analysis, 33(6). https://doi.org/10.1007/s12220-023-01225-w
Dong, C. “Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature.” Journal of Geometric Analysis 33, no. 6 (June 1, 2023). https://doi.org/10.1007/s12220-023-01225-w.
Dong C. Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature. Journal of Geometric Analysis. 2023 Jun 1;33(6).
Dong, C. “Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature.” Journal of Geometric Analysis, vol. 33, no. 6, June 2023. Scopus, doi:10.1007/s12220-023-01225-w.
Dong C. Three-Manifolds with Bounded Curvature and Uniformly Positive Scalar Curvature. Journal of Geometric Analysis. 2023 Jun 1;33(6).
Journal cover image

Published In

Journal of Geometric Analysis

DOI

ISSN

1050-6926

Publication Date

June 1, 2023

Volume

33

Issue

6

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics