138 Result(s)
within
Mathematics
Topology
**hu Li
Article
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Article
Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice $$\...
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Scalar curvature along the Ricci flow
In this note, we prove a well-known conjecture on the Ricci flow under a curvature condition, which is a pinching between the Ricci and Weyl tensors divided by suitably translated scalar curvature, motivated b...
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Low dilatation pseudo-Anosovs on punctured surfaces and volume.
For a pseudo-Anosov homeomorphism f on a closed surface of genus \(g\ge 2\) g ...
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On the existence of solutions to the Orlicz Aleksandrov problem
In [Int Math Res Not 7: 5492–5519 (2021)], Feng and He introduced the Orlicz Aleksandrov problem and proved that, there exists a convex body and an explicit constant, such that the problem is solved provided t...
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Certain hyperbolic regular polygonal tiles are isoperimetric
The hexagon is the least-perimeter tile in the Euclidean plane. On hyperbolic surfaces, the isoperimetric problem differs for every given area. Cox conjectured that a regular k-gonal tile with 120-degree angles i...
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A Kähler structure for the \(\text {PU}(2, 1)\) configuration space of four points in \(S^3\)
We show that an open subset \({\mathfrak {F}}_4''\) F 4 ...
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Sharp inequalities related to the functional \(U_j\) and some applications
Sharp inequalities of the parameterized functional \(U_j\) U j ...
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On some applications of Gauduchon metrics
We apply the existence and special properties of Gauduchon metrics to give several applications. The first one is concerned with the implications of algebro-geometric nature under the existence of a Hermitian ...
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Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots
In this paper, we construct the first families of distinct Lagrangian ribbon disks in the standard symplectic 4-ball which have the same boundary Legendrian knots, and are not smoothly isotopic or have non-hom...
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Rigidity for positively curved Alexandrov spaces with boundary
Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius, 2018), where the authors studied positively curved Alexandrov spaces with largest possible boundary, namely the round sph...
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Open AccessOn the nonlinear Hadamard-type integro-differential equation
This paper studies uniqueness of solutions for a nonlinear Hadamard-type integro-differential equation in the Banach space of absolutely continuous functions based on Babenko’s approach and Banach’s contractio...
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Finite quotients of braid groups
We derive a lower bound on the size of finite non-cyclic quotients of the braid group that is superexponential in the number of strands. We also derive a similar lower bound for nontrivial finite quotients of ...
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Open AccessRetraction Note: Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations
The Editors-in-Chief have retracted this article [1] because it overlaps significantly with a number of previously published articles from different authors [2-4] and one article by different authors that was ...
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Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices
Regular and orientably-regular maps are central to the part of topological graph theory concerned with highly symmetric graph embeddings. Classification of such maps often relies on factoring out a normal subg...
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A bound for rational Thurston–Bennequin invariants
In this paper, we introduce a rational \(\tau \) τ ...
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Boundedness of bi-parameter Littlewood–Paley operators on product Hardy space
Let \(n_1=n\ge 1, n_2=m\ge 1\) ...
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Strong symplectic fillability of contact torus bundles
In this paper, we study strong symplectic fillability and Stein fillability of some tight contact structures on negative parabolic and negative hyperbolic torus bundles over the circle. For the universally tig...
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Open AccessInfinitely split Nash equilibrium problems in repeated games
In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theorem on posets in (J. Math. An...
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A rigidity theorem of \(\xi \) -submanifolds in \({\mathbb {C}}^{2}\)
In this paper, we first introduce the concept of \(\xi \) ξ ...
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Open AccessSome convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive map**s in \(\operatorname {CAT}(0)\) spaces
In this paper, a new modified proximal point algorithm involving fixed point iterates of asymptotically nonexpansive map**s in ...
