Related papers: The Cauchy problem for Schrodinger flows into Kahl…

This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.

This paper has been withdrawn in order to replace it by two separate submissions: 1. Hamiltonian 2-forms in Kahler geometry III: Extremal metrics and stability, math.DG/0511118; 2. Hamiltonian 2-forms in Kahler geometry IV: Weakly…

None. This paper has been withdrawn by the authors.

The paper is withdrawn due to some errors.

In this short note, we study the behavior of Kaher-Ricci flow on Kahler manifolds which contract divisors to smooth submanifolds. We show that the Kahler potentials are Holder continuous and the flow converges sequentially in…

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

This paper has been withdrawn by the author.

The paper has been withdrawn

This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.

The paper has been withdrawn by authors.

In this short note, we show a uniqueness result of the energy solutions for the Cauchy problem of Schrodinger flow in the whole space $R^n$ provided there is a smooth solution in the energy class.

Withdrawn: Needed more work.

We construct the solution to the periodic Cauchy problem of the Schr\"odinger flow on the sphere. Such construction of solutions is formulated explicitly and therefore a geometric algorithm of solving this periodic Cauchy problem follows.…

In this paper and the companion work \cite{LIZE2}, we prove that the Schr\"odinger map flows from $\Bbb R^d$ with $d\ge 2$ to compact K\"ahler manifolds with small initial data in critical Sobolev spaces are global. The main difficulty…

The paper has been withdrawn due to an error in the main theorem.

We establish the global well-posedness of the initial value problem for the Schrodinger map flow for maps from the real line into Kahler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of…

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the authors.

This paper has been withdrawn and no version of it will ever be published.