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It is well-known that the unit cotangent bundle of any Riemannian manifold has a canonical contact structure. A surface in a Riemannian 3-manifold is called a (wave) front if it is the projection of a Legendrian immersion into the unit cotangent bundle. We shall give easily-computable criteria for a singular point on a front to be a cuspidal edge or a… (More)

We shall investigate flat surfaces in hyperbolic 3-space with admissible singularities, called ‘flat fronts’. An Osserman-type inequality for complete flat fronts is shown. When equality holds in this inequality, we show that all the ends are embedded. Moreover, we shall give new examples for which equality holds. Introduction It is a classical fact that… (More)

- Chizumi Yamada, Yuichiro Yamada, +7 authors Nobuya Inagaki
- Endocrinology
- 2008

Gastrointestinal hormones including gastric inhibitory polypeptide (GIP), glucagon-like peptide (GLP)-1, and GLP-2 are secreted immediately after meal ingestion, and GIP and GLP-2 have been shown to regulate bone turnover. We hypothesize that endogenous GLP-1 may also be important for control of skeletal homeostasis. We investigated the role of GLP-1 in the… (More)

where Â, B̂, Ĉ, D̂ and h are meromorphic functions on M. Though √ h is a multi-valued function on M, F is well-defined as a PSL(2,C)-valued mapping. A meromorphic map F as in (1.1) is called a null curve if the pull-back of the Killing form by F vanishes, which is equivalent to the condition that the derivative Fz = ∂F/∂z with respect to each complex… (More)

- Takashi Yamaguchi, A. Ejiri, +14 authors Takuma Wakatsuki
- 2010

The Thomson scattering system in the TST-2 has been upgraded to improve the reliability and accuracy of measurements. The signal intensity increased because of a new high-energy (1.6 J) laser. A large-numericalaperture (N.A.) fiber was tested, and it was found that a 6-m-long fiber can be used without significant transmission loss. With the upgraded system,… (More)

We shall investigate maximal surfaces in Minkowski 3-space with singularities. Although the plane is the only complete maximal surface without singular points, there are many other complete maximal surfaces with singularities and we show that they satisfy an Osserman-type inequality.

- Hideya Fujiwara, Masaya Hosokawa, +9 authors Nobuya Inagaki
- Diabetes research and clinical practice
- 2008

Curcumin is a compound derived from the spice turmeric, and is a potent anti-oxidant, anti-carcinogenic, and anti-hepatotoxic agent. We have investigated the acute effects of curcumin on hepatic glucose production. Gluconeogenesis and glycogenolysis in isolated hepatocytes, and gluconeogenetic enzyme activity after 120 min exposure to curcumin were… (More)

- Tamae Hamaki, Koichiro Kajiwara, +7 authors Yasuji Kouzai
- Bone marrow transplantation
- 2008

After Gálvez, Mart́ınez and Milán discovered a (Weierstrass-type) holomorphic representation formula for flat surfaces in hyperbolic 3-space H, the first, third and fourth authors here gave a framework for complete flat fronts with singularities in H. In the present work we broaden the notion of completeness to weak completeness, and of front to p-front. As… (More)

We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the shape of cuspidal edges. Moreover, it is deeply related to the behavior of the Gaussian curvature of a surface near cuspidal edges and swallowtails. Introduction LetM be an oriented 2-manifold and f : M →… (More)