Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3463
Abstract
Kondo-Tanaka proved that if a rotationally symmetric plane $M_m$ is von Mangoldt or Cartan-Hadamard outside a compact set and has finite total curvature, then it has a sector with no pair of cut points. We show that the condition of finite total curvature can be removed. %The abstract should provide clear information about the research and the results obtained, and should not exceed 200 words. The abstract should not contain citations.
Keywords
Radial curvature, critical point, surface of revolution, finite topological type, finite total curvature, cut point, conjugate point
First Page
1791
Last Page
1798
Recommended Citation
CHOI, ERIC
(2023)
"Modification of the sector theorem of Kondo-Tanaka,"
Turkish Journal of Mathematics: Vol. 47:
No.
6, Article 13.
https://doi.org/10.55730/1300-0098.3463
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss6/13
