scholarly journals Vector fields, separatrices and Kato surfaces

2014 ◽  
Vol 64 (3) ◽  
pp. 1331-1361 ◽  
Author(s):  
Adolfo Guillot
Keyword(s):  
Vector Fields ◽  
Kato Surfaces

On a Class of Kato Manifolds

2020 ◽  
Author(s):  
Nicolina Istrati ◽  
Alexandra Otiman ◽  
Massimiliano Pontecorvo
Keyword(s):  
Spherical Shell ◽  
Vector Fields ◽  
Specific Class ◽  
Complex Dimension ◽  
Hirzebruch Surfaces ◽  
Higher Dimensional ◽  
Analytical Properties ◽  
Locally Conformally Kähler ◽  
Algebraic Reduction ◽  
Kato Surfaces

Abstract We revisit Brunella’s proof of the fact that Kato surfaces admit locally conformally Kähler metrics, and we show that it holds for a large class of higher-dimensional complex manifolds containing a global spherical shell. On the other hand, we construct manifolds containing a global spherical shell that admit no locally conformally Kähler metric. We consider a specific class of these manifolds, which can be seen as a higher-dimensional analogue of Inoue–Hirzebruch surfaces, and study several of their analytical properties. In particular, we give new examples, in any complex dimension $n \geq 3$, of compact non-exact locally conformally Kähler manifolds with algebraic dimension $n-2$, algebraic reduction bimeromorphic to $\mathbb{C}\mathbb{P}^{n-2}$, and admitting nontrivial holomorphic vector fields.

Parallel Computation of Complex Antennas around the Coated Object Using Iterative Vector Fields Technique

2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA
Keyword(s):  
Parallel Computation ◽  
Vector Fields

Spacetime symmetries

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Riemannian Manifold ◽  
Conservation Laws ◽  
Vector Fields ◽  
Killing Vector ◽  
Geodesic Equation ◽  
Spacetime Symmetries ◽  
Tensor Fields ◽  
Killing Vector Fields ◽  
Covariant Derivatives ◽  
Killing Equation

This chapter introduces tensor fields, covariant derivatives and the geodesic equation on a (pseudo-) Riemannian manifold. It discusses how symmetries of a general space-time can be found from the Killing equation, and how the existence of Killing vector fields is connected to global conservation laws.

On flows generated by vector fields with compact support

2018 ◽  
Vol 75 (2) ◽  
pp. 121-157 ◽  
Author(s):  
Olivier Kneuss ◽  
Wladimir Neves
Keyword(s):  
Compact Support ◽  
Vector Fields
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