1 citations · 4 across the 13 of their papers we have counts for
13 papers
Energy functionals on almost Kähler manifolds: I
Ken Wang, Zuyi Zhang, Jiuru Zhou
In this paper, we consider the Donaldson gauge functional and the twisted Aubin functionals on almost Kähler manifolds. As in Kähler geometry, we generalize the inequality between…
harmonic 1-forms on complete non-compact smooth metric measure spaces
Jiuru Zhou, Peng Zhu
This paper studies complete non-compact smooth metric measure space with positive first spectrum or satisfying a weighted Poincaré i…
harmonic 1-forms on smooth metric measure spaces with positive
Jiuru Zhou
In this paper, we study vanishing and splitting results on a complete smooth metric measure space with various negative -Bakry-Émery-Ricci c…
Direct sum for basic cohomology of codimension four taut Riemannian foliation
Jiuru Zhou
We discuss the decomposition of degree two basic cohomology for codimension four taut Riemannian foliation according to the holonomy invariant transversal almost complex structure…
Ancient solutions for Andrews' hypersurface flow
Peng Lu, Jiuru Zhou
We construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994. As time the solutions collapse to a round point…
On tamed almost complex four manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou +1
This paper proves that on any tamed closed almost complex four-manifold whose dimension of -anti-invariant cohomology is equal to the self-dual second Betti number minus…
Symplectic Parabolicity and L^2 Symplectic Harmonic Forms
Qiang Tan, Hongyu Wang, Jiuru Zhou
In this paper, we study the symplectic cohomologies and symplectic harmonic forms which introduced by Tseng and Yau. Based on this, we get if is a compact symplectic p…
Basic cohomology group decomposition of K-contact 5-manifolds
Zhou Jiuru, Zhu Peng
In this paper, we consider decompositions of basic degree 2 cohomology for a compact K-contact 5-manifold , and conclude the pureness and fullness of -invariant and…
A note on the deformations of almost complex structures on compact four-manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou
In this paper, we calculate the dimension of the -anti-invariant cohomology subgroup on . Inspired by the concrete example, , we get that: On…
Periodicity related to a sieve method of producing primes
Haifeng Xu, Zuyi Zhang, Jiuru Zhou
In this paper we consider a slightly different sieve method from Eratosthenes' to get primes. We find the periodicity and mirror symmetry of the pattern.
The limit of the m-norms of a class of symmetric matrices and its applications
Haifeng Xu, Binxian Yuan, Zuyi Zhang +1
We consider a special symmetric matrix and obtain a similar formula as the one obtained by Weyl's criterion. Some applications of the formula are given, where we give a new way to…
Primitive cohomology of degree 2 on compact symplectic manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou
In this paper, we define the generalized Lejmi's operator on a compact almost Kähler -manifold. We get that is -pure and full if . Addit…
The connection between the Basel problem and a special integral
Haifeng Xu, Jiuru Zhou
By using Fubini theorem or Tonelli theorem, we find that the zeta function value at 2 is equal to a special integral. Furthermore, We find that this special integral is two times o…