Tame Fr\'echet submanifolds [PDF]
, 2013 We introduce the new class of submanifolds of co-Banach type in tame Fr\'echet manifolds and construct tame Fr\'echet submanifolds as inverse images of regular values of certain tame maps.
Freyn, Walter
core
Circle packings, renormalizations, and subdivision rules
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
Global existence of submanifolds of solutions of nonlinear second order differential systems
Differential and Integral Equations, 1995 Let \(G= G(u,p)\) be a \(C^ 1(\mathbb{R}^ n\times \mathbb{R}^ n)\) function, strictly convex with respect to \(p\) for every \(u\) and \(G(u, 0)= 0\), \(G_ p(u, 0)= 0\). Moreover, let \(F= F(t, u)\) be of class \(C^ 1(\mathbb{R}^ n\times \mathbb{R}^ n)\) and \(Q= Q(t,u,p)\) be continuous on \(\mathbb{R}_+\times \mathbb{R}^ n\times \mathbb{R}^ n\) with ...
openaire +3 more sources
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source
A short survey on biharmonic maps between Riemannian manifolds [PDF]
, 2005 In this short survey we report on the theory of biharmonic maps between Riemannian manifolds.Comment: 20 ...
C. Oniciuc, Revista De La, S. Montaldo
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On the Maslov class rigidity for coisotropic submanifolds [PDF]
, 2009 We define the Maslov index of a loop tangent to the characteristic foliation of a coisotropic submanifold as the mean Conley--Zehnder index of a path in the group of linear symplectic transformations, incorporating the "rotation" of the tangent space of ...
Ginzburg, Viktor L.
core
Discussion of ‘Robust distance covariance’ by S. Leyder, J. Raymaekers and P. J. Rousseeuw
International Statistical Review, Volume 94, Issue 1, Page 40-53, April 2026.
Hallin Marc +3 more
wiley +1 more source
Global hyperbolicity of renormalization for C^r unimodal mappings
, 2006 In this paper we extend M. Lyubich's recent results on the global hyperbolicity of renormalization of quadratic-like germs to the space of C^r unimodal maps with quadratic critical point.
de Faria, Edson +2 more
core +1 more source
Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]
Entropy (Basel), 2022 Decu S, Vîlcu GE.
europepmc +1 more source