An integral transform on a cylinder and the twistor correspondence

Twistor correspondences for R-invariant indefinite self-dual conformal structures on R^4 are established explicitly. These correspondences are written down by using a natural integral transform from functions on a two dimensional cylinder to functions on the flat Lorentz space R^{1,2} which is related to the wave equation and the Radon transform. A general method on the twistor construction of indefinite self-dual 4-spaces and indefinite Einstein-Weyl 3-spaces are also summarized.Comment: 15 page

Singular Self-dual Zollfrei Metrics and Twistor Correspondence

We construct examples of singular self-dual Zollfrei metrics explicitly, by patching a pair of Petean's self-dual split-signature metrics. We prove that there is a natural one-to-one correspondence between these singular metrics and a certain set of embeddings of $RP^3$ to $CP^3$ which has one singular point. This embedding corresponds to an odd function on $R$ that is rapidly decreasing and pure imaginary valued. The one-to-one correspondence is explicitly given by using the Radon transform.Comment: 25page

Acute superior mesenteric venous thrombosis with advanced gastric cancer: a case report

Although the advanced stages of neoplasms have a risk of superior mesenteric venous thrombosis (MVT), an initial clinical diagnosis of MVT is sometimes difficult and it can be treated as a cancer-related pain using NSAIDs and/or opioids