-adic analytic spaces.
We present several characterizations and representations of semi-complete vector fields on the open unit balls in complex Euclidean and Hilbert spaces.
In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds.
Integers are the partial indices of an analytic disc attached to a maximally real submanifolds of if and only if for at least one . If this is the case there are a Lagrangian submanifold of and an analytic disc attached to with partial indices .
We determine the maximal number of independent holomorphic functions on the Thurston manifolds , r ≥ 1, which are the first discovered compact non-Kähler almost Kähler manifolds. We follow the method which involves analyzing the torsion tensor dθ modθ, where are independent (1,0)-forms.