Y. He

activity

20102026

most citedPrime number theorems for Basmajian-type identities

2 citations · 7 across the 15 of their papers we have counts for

collaborators

Showing 2019Show all

6 papers · 1 filter

math.NT2019★ 1 cited

A generalized subspace theorem for closed subschemes in subgeneral position

Yan He, Min Ru

In this paper, we extend the recent theorem of G. Heier and A. Levin [arXiv:1712.02456] on the generalization of Schmidt's subspace theorem and Cartan's Second Main Theorem in Neva…

math.DG2019

A class of fully nonlinear equations arising in conformal geometry

Li Chen, Xi Guo, Yan He

In this paper, we consider a class of fully nonlinear equations on closed smooth Riemannian manifolds, which can be viewed as an extension of $σ_{k}$ Yamabe equation. Moreover, we pr…

math.GT2019

Identities for hyperconvex Anosov representations

Yan Mary He

In this paper, we establish Basmajian's identity for $(1, 1, 2)$ -hyperconvex Anosov representations from a free group into $P G L (n, R)$ . We then study our series identities on holomor…

math.AP2019

A Pogorelov estimate and a Liouville type theorem to parabolic $k$ -Hessian equations

Yan He, Haoyang Sheng, Ni Xiang

We consider Pogorelov type estimates and Liouville type theorems to parabolic $k$ -Hessian equations of the form $- u_{t} σ_{k} (D^{2} u) = 1$ in $R^{n} \times (- \infty, 0]$ . We derive…

math.AP2019★ 1 cited

A Liouville type theorem to $2$ -Hessian equations

Yan He, Haoyang Sheng, Ni Xiang

In this paper, we proved that any 2-convex solution $u$ of $σ_{2} (D^{2} u) = 1$ with a quadratic growth must be a quadratic polynomial in $R^{n} (n \geq 3)$ by using a Pogorelov e…

math.AP2019

A Rigidity theorem for parabolic 2-Hessian equations

Yan He, Cen Pan, Ni Xiang

In this paper, we consider the entire solutions to the parabolic $2$ -Hessian equations of the form $- u_{t} σ_{2} (D^{2} u) = 1$ in $R^{n} \times (- \infty, 0]$ . We prove some rigidity th…