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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions
全纯接触流形 线和 （2，3，5） 高维度推广
2023/4/19
Since the celebrated work by Cartan, distributions with small growth vector (2,3,5) have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic (2,...
Adapted connections on metric contact manifolds
Adapted connections metric contact manifolds Differential Geometry
2012/4/16
In this paper, we describe the space of adapted connections on a metric contact manifold through the space of their torsion tensors. The torsion tensor is an element of the space of TM-valued two-form...
On prolongations of contact manifolds
prolongations of contact manifolds Symplectic Geometry Differential Geometry
2011/9/23
Abstract: In this note, we apply spectral sequences to both derive an obstruction to the existence of $n$-fold prolongations and to derive a topological classification. Prolongations were formerly use...
K-homology and index theory on contact manifolds
K-homology and index theory Operator Algebras Differential Geometry
2011/8/31
Abstract: Let X be a closed connected contact manifold. On X there is a naturally arising class of hypoelliptic (but not elliptic) operators which are Fredholm. In this paper we solve the index proble...
On the mean Euler characteristic of contact manifolds
the mean Euler characteristic contact manifolds
2010/11/23
We express the mean Euler characteristic of a contact structure in terms of the mean indices of closed Reeb orbits for a broad class of contact manifolds, the so-called asymptotically finite contact ...
Some submanifolds of almost contact manifolds with Norden metric
Norden metric almost contact manifold submanifold Lie group
2010/12/1
In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.
We extract an invariant taking values in N ∪ {∞}, which we call the order of algebraic torsion, from the Symplectic Field Theory of a closed contact manifold, and show that its finiteness gives obstru...