This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the ...
讨论和乐群的经典是Besse的Einstein Manifolds(Besse是以Berger为首的一群法国几何学家模仿Bourbaki的成例而取的笔名,因而这本书可以视为Berger的夫子自道)。Joyce的Compact manifolds with special holonomy和Riemannian holonomy groups and calibrated geometry是2本值得参考的现代著作。 以下讨论中将反复出现如下模式:(1)...
and where he finished his PhD in 2016. He is broadly interested in interactions between algebraic and differential geometry, and the use of related ideas in the construction and geometry of moduli spaces in algebraic geometry.微信号:YMSC-...
@@In this paper, we deal with complex J-symplectic geometry with application to ordinary differential operators. We define complex J-symplectic spaces and their J-Lagrangian subspaces and complete J-Lagrangian subspaces, and then we discuss their basic algebraic properties. Then we apply them to ...
In this paper, we investigate the geometry of Lagrangian submanifolds of the complex hyperquadric QnQn, which is a homogeneous complex nn-dimensional Kähler manifold. The study of Lagrangian submanifolds originates from symplectic geometry and classical mechanics. Let (N,ω)(N,ω) be a 2n2n-...
Blair, David E.: Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics 203. Birkhäuser, Basel (2010) Google Scholar Boothby, W. M.: Homogeneous complex contact manifolds. In Proceedings of Symposia in Pure Mathematics, Vol. 3, pp. 144–154, Amer. Math. Soc., ...
In this paper we study a family of complex, compact, non-symplectic manifolds arising from linear complex dynamical systems. For every integern>3, and an ordered partition ofn into an odd numberk of positive integers we construct such a manifold together with an (n-2)-dimensional space of ...
Dame Frances Clare Kirwan, DBE FRS (born 1959) is a British mathematician, currently a Professor of Mathematics at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry. http://en.wikipedia.org/wiki/Frances_Kirwan ...
Complex Analytic and Differential Geometry 热度: Algebraic Geometry over the Complex Numbers 热度: Current Topics in Complex Algebraic Geometry 热度: 相关推荐 a r X i v : m a t h / 0 3 0 9 2 3 0 v 2 [ m a t h . C V ] 2 M a r 2 0 0 4 Symplecticstability,analytic...
Solute elastic rectangular thin plate bysymplectic geometry method; 求解弹性矩形薄板问题的辛几何法 4) symplectic space 辛几何 1. The dual equations and conditions of the corresponding boundary are obtained directly in thesymplectic space. 在辛几何空间中直接描述正则方程和对应的边条件。