In this short note, we solve a Dirichlet problem for a fully nonlinear elliptic equation. The operator is introduced by S. Donaldson and it is relevant to the geometry of the space of volume forms.
The space of volume forms (2008)
S. Donaldson introduced a metric on the space of volume forms, with fixed total volume on any compact Riemmanian manifold. With this metric, the space of volume forms formally has non-positive...
A note on sigular time of mean curvature flow (2008)
We show that mean curvature flow of a compact submanifold in a complete Riemannian manifold cannot form singularity at time infinity if the ambient Riemannian manifold has bounded geometry and...
The Calabi flow on toric Fano surface (2008)
Using the toric structure, we show that the Calabi flow exists for all time and converges provided that the Sobolev constant is uniformly bounded along the flow on toric surface. On toric Fano...
The Calabi flow on K\"ahler surface with bounded Sobolev constant--(I) (2007)
We consider the formation of singularities along the Calabi flow with the assumption of the uniform Sobolev constant. In particular, on K\"ahler surface we show that any "maximal bubble" has to be a...
In this short note we show that the existence of bilaterally symmetric extremal K\"ahler metrics on $\mathbb{CP}^2\sharp 2\bar{\mathbb{CP}^2}$.
We first give a precise statement on the short time existence of the Calabi flow and prove a stability result: any metric near a constant scalar curvature metric will flow to this cscK metric...
He, Weiyong, Ohashi, Kazuhiko, Sugimoto, Chihiro, Tsuji, Masayoshi, Onuma, Misao
A cDNA clone encoding a prohibitin-like protein (Toprh) was isolated from a piroplasm cDNA library of Theileria orientalis and its nucleotide sequence was determined. An open reading frame, encoding...
He, Weiyong, Ohashi, Kazuhiko, Sugimoto, Chihiro, Tsuji, Masayoshi, Onuma, Misao
A cDNA clone encoding a prohibitin-like protein (Toprh) was isolated from a piroplasm cDNA library of Theileria orientalis and its nucleotide sequence was determined. An open reading frame, encoding...
He, Weiyong, Ohashi, Kazuhiko, Sugimoto, Chihiro, Tsuji, Masayoshi, Onuma, Misao
A cDNA clone encoding a prohibitin-like protein (Toprh) was isolated from a piroplasm cDNA library of Theileria orientalis and its nucleotide sequence was determined. An open reading frame, encoding...