Some PDFs

The symplectomorphisms between cotangent bundles and the Lifting of diffeomorphisms.

This my final homework of the course “Mathematical methods for Classical Mechanics”

辛几何作业(3).pdf download

Those days in Hangzhou

This is the together photo and a memory of the “Geometry and Physics Workshop” held in Zhejiang University, Hangzhou, in May 2021.

A brief introduction to the Shchwarz Lemma

This my final homework of the course “riemann Surfaces”, I wrote a review about Ahlfors’ work in 1938, he proved any holomorphic map from Poincaré disk $(\mathbb{D}, g)$ to a Riemann Surface edowed with a negative-curvature metric $(M, ds^2)$ is a Lipschitz map.

This my final homework of the course “riemann Surfaces”, I wrote a review about Ahlfors’ work in 1938, he proved any holomorphic map from Poincaré disk $(\mathbb{D}, g)$ to a Riemann Surface edowed with a negative-curvature metric $(M, ds^2)$ is a Lipschitz map.

作业(1).pdf Download

The Mathematical Essence of Losing Weight

This is an article for fun, in this little article, I use the differential equations showed the essence philosophy of losing weight, and what is it? Welcome to have a look.

losing weight in a mathematical way.pdf Download

The Seminar on Dynamic Systems & Nonlinear Analysis.

This the together photo and a memory for the Seminar on Dynamical Systems and Nonlinear Analysis, held in Nankai University, Tianjin, May 2021. To those days with my pals！

In this short report, I write a note about Kodaira embedding Theorem, the proof is cohomologically, the obstruction of the embedding of a compact Kähler Manifold $X$ to a projective Space $\mathbb{P}^n$ lies in the 1st Cohomology group of the ideal sheaf, and the obstruction disappeared whenever $X$ admits a positive line bundle.