Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Curry, Sean N."'
Autor:
Curry, Sean N., Lebl, Jiří, Giroux, Mathieu, Hannesdottir, Holmfridur S., Mizera, Sebastian, Pasiecznik, Celina
We will cover the basics of several complex variables in 4 lectures: Basic properties of holomorphic functions in several variables, the notion of pseudoconvexity, CR functions and CR geometry, and the $\bar\partial$-problem. The main underlying idea
Externí odkaz:
http://arxiv.org/abs/2411.01056
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally
Externí odkaz:
http://arxiv.org/abs/2309.09361
Autor:
Curry, Sean N., Ebenfelt, Peter
On a bounded strictly pseudoconvex domain in $\mathbb{C}^n$, $n >1$, the smoothness of the Cheng-Yau solution to Fefferman's complex Monge-Amp\`ere equation up to the boundary is obstructed by a local curvature invariant of the boundary, the CR obstr
Externí odkaz:
http://arxiv.org/abs/2104.01223
Autor:
Curry, Sean N., Ebenfelt, Peter
Abstract deformations of the CR structure of a compact strictly pseudoconvex hypersurface $M$ in $\mathbb{C}^2$ are encoded by complex functions on $M$. In sharp contrast with the higher dimensional case, the natural integrability condition for $3$-d
Externí odkaz:
http://arxiv.org/abs/2007.00547
Autor:
Curry, Sean N., Ebenfelt, Peter
On a bounded strictly pseudoconvex domain in $\mathbb{C}^n$, $n>1$, the smoothness of the Cheng-Yau solution to Fefferman's complex Monge-Ampere equation up to the boundary is obstructed by a local CR invariant of the boundary. For a bounded strictly
Externí odkaz:
http://arxiv.org/abs/1810.05362
Autor:
Curry, Sean N., Ebenfelt, Peter
On a bounded strictly pseudoconvex domain in $\mathbb{C}^n$, $n>1$, the smoothness of the Cheng-Yau solution to Fefferman's complex Monge-Ampere equation up to the boundary is obstructed by a local curvature invariant of the boundary. For bounded str
Externí odkaz:
http://arxiv.org/abs/1803.09053
Publikováno v:
Comptes Rendus. 356 (2018)532-537
We construct examples of nondegenerate CR manifolds with Levi form of signature $(p,q)$, $2\leq p\leq q$, which are compact, not locally CR flat, and admit essential CR vector fields. We also construct an example of a noncompact nondegenerate CR mani
Externí odkaz:
http://arxiv.org/abs/1802.00083
Autor:
Curry, Sean N., Gover, A. Rod
We develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory. In particular, we establish the subtle relationship between the submanifold and ambient sta
Externí odkaz:
http://arxiv.org/abs/1511.07928
Autor:
Curry, Sean N., Ebenfelt, Peter
Publikováno v:
In Advances in Mathematics 20 August 2019 352:611-631
Autor:
Curry, Sean N., Ebenfelt, Peter
Publikováno v:
Mathematische Annalen; May2024, Vol. 389 Issue 1, p627-669, 43p