논문KCI 등재
On Spherically Concave Functions
한국수학교육학회|2005.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제12권 제3호|pp. 229-235
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Abstract
The notions of spherically concave functions defined on a subregion of the Riemann sphere P are introduced in different ways in Kim & Minda [The hyperbolic metric and spherically convex regions. J. Math. Kyoto Univ. 41 (2001), 297–314 ] and Kim & Sugawa [Charaterizations of hyperbolically convex regions. J. Math. Anal. Appl. 309 (2005), 37–51 ]. We show continuity of the concave function defined in the latter and show that the two notions of the concavity are equivalent for a function of class C2. Moreover, we find more characterizations for spherically concave functions.
참고문헌 (4)
- "The hyperbolic and quasihyperbolic metrics in convex regions", pp.~1
- "Charaterizations of hyperbolically convex regions", 309(1), pp.37?~51 (2005)
- "Hyperbolic curvature on Riemann surfaces", pp.1~4 (1989)
- "Translated from the sixth German edition Graduate Texts in Mathematics", Springer-Verlag
관련 논문AI추천
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