Antonio Lerario,Francesca Tripaldi
Antonio Lerario
The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms by homogeneous weights that computes the de Rham cohomology...
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds [0.03%]
完备严格伪凸CR流形上的Szegö核渐近性理论
Chin-Yu Hsiao,George Marinescu,Huan Wang
Chin-Yu Hsiao
We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR R -action under certain natural geometric conditions. As a consequence we show that such man...
Stefan Haller
Stefan Haller
We propose an analytic torsion for the Rumin complex associated with generic rank two distributions on closed 5-manifolds. This torsion behaves as expected with respect to Poincaré duality and finite coverings. We establish anomaly formula...
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...