• 대한두경부종양학회:학술대회논문집
• /
• 1991.11a
• /
• pp.20.1-20.1
• /
• 1991

• 대한임상약리학회:학술대회논문집
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• 1993.12a
• /
• pp.45-45
• /
• 1993

• 대한두경부종양학회:학술대회논문집
• /
• 1985.11a
• /
• pp.14.3-16
• /
• 1985

• Proceedings of the Zoological Society Korea Conference
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• 2000.10a
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• pp.285.2-286
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• 2000

No Abstract, See Full Text

• Proceedings of the Zoological Society Korea Conference
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• 2003.08a
• /
• pp.128.2-128
• /
• 2003

No Abstract, See Full Text

• 대한두경부종양학회:학술대회논문집
• /
• 1998.11a
• /
• pp.288.2-289
• /
• 1998

• Proceedings of the Membrane Society of Korea Conference
• /
• 2008.05a
• /
• pp.249-252
• /
• 2008

• 대한두경부종양학회:학술대회논문집
• /
• 1992.11a
• /
• pp.137-138
• /
• 1992

• Bulletin of the Korean Mathematical Society
• /
• v.31 no.1
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• pp.85-92
• /
• 1994

It is well known that there exist no closed minimal surfaces in a 3-dimensional Euclidean space R$^{3}$. Myers [4] generalized the result to the case of the higher dimension and proved that there are no closed minimal hypersurfaces in an open hemisphere. The complete and non-compact version concerning Myers' theorem is recently considered by Cheng [1] and the following theorem is proved.

• East Asian Economic Review
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• v.18 no.4
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• pp.367-394
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• 2014

In this study, we examined the fractal structure of the Nikkei225, HangSeng, Shanghai Stock Exchange and Straits Times Index of Singapore. Empirical analysis was performed via non-parametric, semi-parametric long memory tests and also fractal dimension calculations. In order to avoid spurious long memory features, besides the Detrended Fluctuations Analysis (DFA), we also used Smith's (2005) modified GPH method. As for fractal dimension calculations, they were conducted via Box-Counting and Variation (p=1) tests. According to the results, while there is no long memory property in log returns of any index, we found evidence for long memory properties in the volatility of the HangSeng, the Shanghai Stock Exchange and the Straits Times Index. However, we could not find any sign of long memory in the volatility of Nikkei225 index using either the DFA or modified GPH test. Fractal dimension analysis also demonstrated that all raw index prices have fractal structure properties except for the Nikkei225 index. These findings showed that the Nikkei225 index has the most efficient market properties among these markets.