Gioacchino Antonelli,Andrea Merlo
Gioacchino Antonelli
In this paper, we start a detailed study of a new notion of rectifiability in Carnot groups: we say that a Radon measure is P h -rectifiable, for h ∈ N , if it has positive h-lower density and finite h-upper density almost everywher...
Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion [0.03%]
Holder连续同胚的旋转界及其可积变形扭曲
A Clop,L Hitruhin,B Sengupta
A Clop
We obtain sharp rotation bounds for the subclass of homeomorphisms f : C → C of finite distortion which have distortion function in L loc p , p > 1 , and for which a Hölder continuous inverse is available. The interest in this cla...
Gunther Leobacher,Alexander Steinicke
Gunther Leobacher
We consider a class of functions defined on metric spaces which generalizes the concept of piecewise Lipschitz continuous functions on an interval or on polyhedral structures. The study of such functions requires the investigation of their ...
Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K 3 Surfaces [0.03%]
椭圆纤维化K3曲面坍缩上的埃尔米特-杨振宁- Mills连接
Ved Datar,Adam Jacob
Ved Datar
Let X → P 1 be an elliptically fibered K3 surface, admitting a sequence ω i of Ricci-flat metrics collapsing the fibers. Let V be a holomorphic SU(n) bundle over X, stable with respect to ω i . Given the corresponding se...
Bakry-Émery Ricci Curvature Bounds for Doubly Warped Products of Weighted Spaces [0.03%]
加权空间的双扭曲积的Bakry-Émery里奇曲率界
Zohreh Fathi,Sajjad Lakzian
Zohreh Fathi
We introduce a notion of doubly warped product of weighted graphs that is consistent with the doubly warped product in the Riemannian setting. We establish various discrete Bakry-Émery Ricci curvature-dimension bounds for such warped produ...
Volker Branding
Volker Branding
4-harmonic and ES-4-harmonic maps are two generalizations of the well-studied harmonic map equation which are both given by a nonlinear elliptic partial differential equation of order eight. Due to the large number of derivatives it is very...
Gianni Manno,Paweł Nurowski,Katja Sagerschnig
Gianni Manno
A contact twisted cubic structure ( M , C , γ ) is a 5-dimensional manifold M together with a contact distribution C and a bundle of twisted cubics γ ⊂ P ( C ) compatible with the conformal symplectic form on C . The simp...
Philipp Kniefacz,Franz E Schuster
Philipp Kniefacz
A family of sharp L p Sobolev inequalities is established by averaging the length of i-dimensional projections of the gradient of a function. Moreover, it is shown that each of these new inequalities directly implies the classical L p Sob...
Degenerate Elastic Networks [0.03%]
退化的弹性网络
Giacomo Del Nin,Alessandra Pluda,Marco Pozzetta
Giacomo Del Nin
We minimize a linear combination of the length and the L 2 -norm of the curvature among networks in R d belonging to a given class determined by the number of curves, the order of the junctions, and the angles between curves at the junct...
David Nicolas Nenning,Armin Rainer,Gerhard Schindl
David Nicolas Nenning
A remarkable theorem of Joris states that a function f is C ∞ if two relatively prime powers of f are C ∞ . Recently, Thilliez showed that an analogous theorem holds in Denjoy-Carleman classes of Roumieu type. We prove that a ...