Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic maps between closed SU(l,m)-orbits in Grassmannian   Orbits of $SU(\ell, m)$ in a Grassmannian manifold have homogeneous CR
structures. In this paper, we study germs of smooth CR mappings sending a
closed orbit of $SU(\ell,m)$ into a closed orbit of $SU(\ell',m')$ in
Grassmannian manifolds. We show that if the signature difference of the Levi
forms of two orbits is not too large, then the mapping can be factored into a
simple form and one of the factors extends to a totally geodesic embedding of
the ambient Grassmannian into another Grassmannian with respect to the standard
metric. As an application, we give a sufficient condition for a smooth CR
mapping sending a closed orbit of $SU(\ell,m)$ into a closed orbit of
$SU(\ell',m')$ in Grassmannian manifolds to extend as a totally geodesic
embedding of the Grassmannian into another Grassmannian.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an