369 Result(s)
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Open AccessHarmonic Morphisms from Fefferman Spaces
We study a ramification of a phenomenon discovered by Baird and Eells (in: Looijenga et al (eds) Geometry Symposium Utrecht 1980. Lecture Notes in Mathematics, Springer, Berlin, 1981) i.e. that non-constant ha...
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Open AccessNetwork Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation
The optimal control problems for the wave equation are considered on networks. The turnpike property is shown for the state equation, the adjoint state equation as well as the optimal cost. The shape and topol...
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Open AccessGeometric Description of Some Loewner Chains with Infinitely Many Slits
We study the chordal Loewner equation associated with certain driving functions that produce infinitely many slits. Specifically, for a choice of a sequence of positive numbers
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Open AccessLogarithmic Sobolev-Type Inequalities on Lie Groups
In this paper we show a number of logarithmic inequalities on several classes of Lie groups: log-Sobolev inequalities on general Lie groups, log-Sobolev (weighted and unweighted), log-Gagliardo–Nirenberg and l...
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Open AccessThe Gauss Images of Complete Minimal Surfaces of Genus Zero of Finite Total Curvature
This paper aims to present a systematic study on the Gauss images of complete minimal surfaces of genus 0 of finite total curvature in Euclidean 3-space and Euclidean 4-space. We focus on the number of omitted...
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Open AccessA 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 flow techniques for mean convex embedded flows such as nonc...
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Open AccessBounded 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 an open bounded domain
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Open AccessPoincaré 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 non-integrability condition. We then study how our arguments can be used...
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Open AccessGeometric Representation of Classes of Concave Functions and Duality
Using a natural representation of a 1/s-concave function on \({\mathbb {R}}^d\) ...
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Open AccessVelocity-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 satisfies additional assumptions in fractional Sobolev spaces with...
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Open AccessThe 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 spherically symmetric case, the holonomy group is maximal, and for a si...
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Open AccessHardy Spaces and Canonical Kernels on Quadric CR Manifolds
CR functions on an embedded quadric M always extend holomorphically to \(M+i\Gamma _M\) ...
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Open AccessA Sharp Estimate for the Genus of Embedded Surfaces in the 3-Sphere
By refining the volume estimate of Heintze and Karcher [11], we obtain a sharp pinching estimate for the genus of a surface in $$\mathbb S^{3}...
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Open AccessExistence of Optimal Flat Ribbons
We apply the direct method of the calculus of variations to show that any nonplanar Frenet curve in \({\mathbb {R}}^{3}\) ...
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Open AccessCorrection: On Multiple Lp-Curvilinear-Brunn–Minkowski Inequalities
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Open AccessA General Integral Identity with Applications to a Reverse Serrin Problem
We prove a new general differential identity and an associated integral identity, which entails a pair of solutions of the Poisson equation with constant source term. This generalizes a formula that the first ...
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Open AccessImplications of Some Mass-Capacity Inequalities
Applying a family of mass-capacity related inequalities proved in Miao (Peking Math J 2023, https://doi.org/10.1007/s42543-023-00071-7), we obtain sufficient condi...
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Open AccessCR Compactification for Asymptotically Locally Complex Hyperbolic Almost Hermitian Manifolds
In this article, we consider a complete, non-compact almost Hermitian manifold whose curvature is asymptotic to that of the complex hyperbolic space. Under natural geometric conditions, we show that such a man...
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Open AccessMaximal Estimates for the \({\bar{\partial }}\) -Neumann Problem on Non-pseudoconvex Domains
It is well known that elliptic estimates fail for the \({\bar{\partial }}\) ...
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Open AccessCorrection: Harmonic Flow of Quaternion-Kähler Structures
