Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
A DIVERGENCE-LIKE CHARACTERIZATION OF ADMISSIBLE FUNCTIONS ON DIGRAPHS
GEN-ICHI OSHIKIRI
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2004 年 56 巻 2 号 p. 147-153

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In previous papers, the author defined a notion of admissible functions for digraphs and studied its properties. The notion of admissible functions naturally comes from the study of mean curvature functions of codimension-one foliations, and admissible functions of foliated manifolds are represented by a divergence formula. In this paper, we show that the similar divergence-like formula characterizes admissible functions of digraphs.
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© 2004 by THE TOHOKU UNIVERSITY
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