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We study the space of deformations of a smooth foliation of the 5-sphere by complex manifolds

微分几何 · 数学 2011-11-10 Laurent Meersseman , Alberto Verjovsky

In 2002 Meersseman-Verjovsky [2] constructed a smooth, codimension-one, foliation on 5-sphere by complex surfaces with two compact leaves. The aim of this note is to improve their construction in order to give a smooth foliation on 5-sphere…

复变函数 · 数学 2010-03-24 Guillaume Deschamps

We construct a smooth codimension-one foliation on the five-sphere in which every leaf is a symplectic four-manifold and such that the symplectic structure varies smoothly. Our construction implies the existence of a complete regular…

辛几何 · 数学 2020-01-21 Pablo Suárez-Serrato , Alberto Verjovsky

The aim of this paper is to show that Lawson's foliation on the 5-sphere admits a smooth leafwise symplectic structure. The main part of the construction is to show that the Fermat type cubic surface admits an end-periodic symplectic…

辛几何 · 数学 2013-11-01 Yoshihiko Mitsumatsu

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

微分几何 · 数学 2007-05-23 Albert Borbely

This submission has been withdrawn by the author and superseded by arXiv:0804.0744.

微分几何 · 数学 2008-07-16 Graham Smith

The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.

几何拓扑 · 数学 2007-05-23 Francesco Costantino

In this paper, we prove a result related to the deformation of complex submanifolds, modifying a result of Kodaira (Ann. Math, 75(1), 146-162, 1962).

微分几何 · 数学 2007-05-23 Zhiqin Lu

The aim of this paper is to describe complex foliations on Kahler surfaces.

微分几何 · 数学 2019-04-15 Wlodzimierz Jelonek

Some unfortunate errors from our paper math/0505591 are corrected.

泛函分析 · 数学 2014-02-26 Monica Ilie , Nico Spronk

This paper has been withdrawn by the author due to errors and bad formalization.

动力系统 · 数学 2012-12-17 Andrey Popescou

The survey is devoted to Toponogov's conjecture, that {\it if a complete simply connected Riemannian manifold with sectional curvature $\le 4$ and injectivity radius $\ge \pi/2$ has extremal diameter $\pi/2$, then it is isometric to CROSS}.…

dg-ga · 数学 2008-02-03 Vladimir Y. Rovenskii , Victor A. Toponogov

We correct a mistake regarding almost complex structures on Hilbert schemes of points in surfaces in arXiv:1510.02449. The error does not affect the main results of the paper, and only affects the proofs of invariance of equivariant…

辛几何 · 数学 2021-11-09 Kristen Hendricks , Robert Lipshitz , Sucharit Sarkar

This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0511016) in a clearer way.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Antonio N. Bernal , Miguel Sánchez

The paper has been withdraw by author due to a crucial error in equation 10.

高能物理 - 理论 · 物理学 2007-05-23 Xiao-Jun Wang

In this article we give corrections and addendum to the article ``Flops and Poisson deformations of symplectic varieties, Publ. Res. Inst. Math. Sci. {\bf 44} (2008) 259 - 314''.

代数几何 · 数学 2026-01-13 Yoshinori Namikawa

This article has been withdrawn due to a mistake which is explained in version 2.

几何拓扑 · 数学 2007-05-23 Francois Laudenbach

This paper has been withdrawn by the author due to a mistake in the section 4.

复变函数 · 数学 2013-04-30 Su-Jen Kan

These are lecture notes of a course given in Pisa, SNS, in february 2002. They provide a classification of holomorphic foliations of nongeneral type on compact Kaehler surfaces.

复变函数 · 数学 2007-05-23 Marco Brunella

In this note we point out an error in the above paper and refer to some papers where this error is corrected and a more general theorem is proved.

几何拓扑 · 数学 2007-05-23 S. K. Roushon
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