Xueyuan Wan
Xueyuan Wan
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a str...
Injectivity and Stability for a Generic Class of Generalized Radon Transforms [0.03%]
广义Radon变换的一类典型族的单射性和稳定性
Andrew Homan,Hanming Zhou
Andrew Homan
Let (M, g) be an analytic, compact, Riemannian manifold with boundary, of dimension n ≥ 2 . We study a class of generalized Radon transforms, integrating over a family of hypersurfaces embedded in M, satisfying the Bolker condition (...
Per Åhag,Rafał Czyż,Lisa Hed
Per Åhag
We study the geometry of m-regular domains within the Caffarelli-Nirenberg-Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every m-hyperconvex domain admits ...
Błażej Wróbel
Błażej Wróbel
We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework, we prove Coifman-Meyer type multiplier theorems and fractional Leibniz rules. Our theory applies to bilinear multip...
K-Semistability of cscK Manifolds with Transcendental Cohomology Class [0.03%]
具有 transcen dental上同调类的 cscK 流形的 K-半稳定性
Zakarias Sjöström Dyrefelt
Zakarias Sjöström Dyrefelt
We prove that constant scalar curvature Kähler (cscK) manifolds with transcendental cohomology class are K-semistable, naturally generalising the situation for polarised manifolds. Relying on a recent result by R. Berman, T. Darvas and C. ...
Han Peters,Iris Marjan Smit
Han Peters
We investigate the existence of wandering Fatou components for polynomial skew-products in two complex variables. In 2004, the non-existence of wandering domains near a super-attracting invariant fiber was shown in Lilov (Fatou theory in tw...