Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3463
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, E (2023). Modification of the sector theorem of Kondo-Tanaka. Turkish Journal of Mathematics 47 (6): 1791-1798. https://doi.org/10.55730/1300-0098.3463
