Year: 2024
Author: Rirong Yuan
Journal of Mathematical Study, Vol. 57 (2024), Iss. 3 : pp. 373–378
Abstract
We use certain Morse functions to construct conformal metrics such that the eigenvalue vector of modified Schouten tensor belongs to a given cone. As a result, we prove that any Riemannian metric on compact 3-manifolds with boundary is conformal to a compact metric of negative sectional curvature.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v57n3.24.08
Journal of Mathematical Study, Vol. 57 (2024), Iss. 3 : pp. 373–378
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Schouten tensor Modified Schouten tensor conformal deformation Morse theory.