4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2018
Relation between combinatorial Ricci curvature and Lin-Lu-Yau's Ricci Curvature on cell complexes
Kazuyoshi Watanabe, Taiki Yamada
In this paper we compare the combinatorial Ricci curvature on cell complexes and the LLY-Ricci curvature defined on graphs. A cell complex is correspondence to a graph such that th…
math.CO2017★ 4 cited
Combinatorial Ricci curvature on cell-complex and Gauss-Bonnnet Theorem
Kazuyoshi Watanabe
In this paper we present the Ricci curvature on cell-complexes and show the Gauss-Bonnnet type theorem on graphs and 2-complex that decomposes closed surface. The defferential form…
math.DG2016
Closed 1-form on topological spaces, and Lusternik-Schnirelman type Category
Kazuyoshi Watanabe
This article deals with a continuous closed 1-form defined on a CW-complex. In particular, we show Lusternik-Schnirelmann type theory on continuous closed 1-forms which is related…