Sentence examples for complex manifold of from inspiring English sources

Let X be a compact complex manifold of dimension n with (K_X) ample.

The space (mathfrak{B}_{v}^{mathbb{C} }) of complex vertex conditions at vertex v is a connected and compact complex manifold of complex dimension (delta^{2} v)).

Multi-chromophore systems display complex manifolds of electronic transitions, enabling their use for optical sensing applications.

(2) By the cited Lefschetz' lemma compact curves of genus ( g ge 2) are rationally cohomologically rigidified, and it is an interesting question whether compact complex manifolds of general type are rigidified (see [67] and [68] for recent progresses).

All complex manifolds of dimensions 2 and 3 admitting transitive Lie group actions by biholomorphisms were found in [35, 71, 88], thus we are mainly concerned with the case (Nge 4) (although this constraint is not imposed in the theorems that appear below).

Let f be an automorphism of a complex manifold X of dimension m, and let p∈X be an attracting fixed point.

Let p∈K and write for the stable manifold of f through p. is a complex manifold, say of complex dimension m.

Such observations illustrate the complex manifold actions of 4-HPR, which may cause cell death by mixed apoptosis/necrosis by both caspase-dependent and -independent pathways (DiPietrantonio et al, 1998; Maurer et al, 1999).

In this section, (X) continues to denote a connected complex paracompact manifold of complex dimension (N).

Everywhere below (X) denotes a connected complex paracompact manifold of complex dimension (N) (hence (n=2N)) and (G) a connected closed subgroup of (mathrm{Bihol}(X)) acting on (X) properly.

The objective of this work is to study the influence of complex manifold geometries on the flow distribution between microchannels by an analytical model and an equivalent electrical resistance network model.