Chin-Yu Hsiao

activity

20082026

most citedAsymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles

72 citations · 201 across the 51 of their papers we have counts for

collaborators

Showing 2015Show all

7 papers · 1 filter

math.CV2015★ 4 cited

Szegő kernel expansion and equivariant embedding of CR manifolds with circle action

Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li

Let $X$ be a compact strongly pseudoconvex CR manifold with a transversal CR $S^{1}$ -action. In this paper, we establish the asymptotic expansion of Szegő kernels of positive Fourier…

math.DG2015

Extremal metrics for the $Q^{'}$ -curvature in three dimensions

Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang

We construct contact forms with constant $Q^{'}$ -curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivi…

math.DG2015★ 10 cited

Extremal metrics for the $Q^{'}$ -curvature in three dimensions

Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang

We construct contact forms with constant $Q^{'}$ -curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivi…

math.DG2015★ 3 cited

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^{1}$ action

Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai

Among those transversally elliptic operators initiated by Atiyah and Singer, Kohn's $□_{b}$ operator on CR manifolds with $S^{1}$ action is a natural one of geometric significance f…

math.CV2015★ 6 cited

Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with $S^{1}$ -action

Chin-Yu Hsiao, Xiaoshan Li

Let $X$ be a compact connected CR manifold of dimension $2 n - 1, n \geq 2$ with a transversal CR $S^{1}$ -action on $X$ . We study the Fourier components of the Kohn-Rossi cohomology with…

math.CV2015★ 11 cited

Szegö kernel asymptotics and Morse inequalities on CR manifolds with $S^{1}$ action

Chin-Yu Hsiao, Xiaoshan Li

Let $X$ be a compact connected CR manifold of dimension $2 n - 1, n \geq 2$ . We assume that there is a transversal CR locally free $S^{1}$ action on $X$ . Let $L^{k}$ be the $k$ -th power of…

math.CV2015★ 2 cited

Szegő kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds

Chin-Yu Hsiao, George Marinescu

Let $X$ be an orientable compact Levi-flat CR manifold and let $L$ be a positive CR complex line bundle over $X$ . We prove that certain microlocal conjugations of the associated Sz…

Szegő kernel expansion and equivariant embedding of CR manifolds with circle action

Extremal metrics for the Q′-curvature in three dimensions

Extremal metrics for the Q′-curvature in three dimensions

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with S1 action

Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with S1-action

Szegö kernel asymptotics and Morse inequalities on CR manifolds with S1 action

Szegő kernel asymptotics and Kodaira embedding theorems of Levi-flat CR manifolds

Extremal metrics for the $Q^{'}$ -curvature in three dimensions

Extremal metrics for the $Q^{'}$ -curvature in three dimensions

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^{1}$ action

Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with $S^{1}$ -action

Szegö kernel asymptotics and Morse inequalities on CR manifolds with $S^{1}$ action