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Trisecting a 4-dimensional book into three chapters
We describe an algorithm that takes as input an open book decomposition of a closed oriented 4-manifold and outputs an explicit trisection diagram of...
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Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds
We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms...
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Projectively induced Kähler cones over regular Sasakian manifolds
Motivated by a conjecture in Loi et al. (Math Zeit 290:599–613, 2018) we prove that the Kähler cone over a regular complete Sasakian manifold is...
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A Note on Alexandrov Immersed Mean Curvature Flow
We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature...
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Bounded Solutions for Non-parametric Mean Curvature Problems with Nonlinear Terms
In this paper we prove existence of nonnegative bounded solutions for the non-autonomous prescribed mean curvature problem in non-parametric form on...
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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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Poincaré Inequality and Topological Rigidity of Translators and Self-Expanders for the Mean Curvature Flow
We prove an abstract structure theorem for weighted manifolds supporting a weighted f -Poincaré inequality and whose ends satisfy a suitable...
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On the Deformation of Thurston’s Circle Packings with Obtuse Intersection Angles
We study Thurston’s circle packings with obtuse intersection angles on closed surfaces. By using combinatorial Ricci/Calabi flows and variational...
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Uniform Upper Bounds on Courant Sharp Neumann Eigenvalues of Chain Domains
We obtain upper bounds on the number of nodal domains of Laplace eigenfunctions on chain domains with Neumann boundary conditions. The chain domains...
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Hölder Parameterization of Continuous Quasi-Self-Contracted Curves in Complete Geodesic Spaces
In this paper, we introduce the notion of quasi-self-contracted curves (QSC curves for short) in metric spaces. It is a natural generalization of the...
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Quantum signal processing and nonlinear Fourier analysis
Elucidating a connection with nonlinear Fourier analysis (NLFA), we extend a well known algorithm in quantum signal processing (QSP) to represent...
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Locally conformally Kähler spaces and proper open morphisms
In this paper, we prove a stability result for the non-Kähler geometry of locally conformally Kähler (lcK) spaces with singularities. Specifically,...
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Velocity-Vorticity Geometric Constraints for the Energy Conservation of 3D Ideal Incompressible Fluids
In this paper we consider the 3D Euler equations and we first prove a criterion for energy conservation for weak solutions, where the velocity...
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The Holonomy of Spherically Symmetric Projective Finsler Metrics of Constant Curvature
In this paper, we investigate the holonomy group of n -dimensional projective Finsler metrics of constant curvature. We establish that in the...