The phrase "almost complex and" is correct and usable in written English.
It can be used when describing something that is nearly complex but not quite there, often in a comparative or analytical context.
Example: "The theory was almost complex and required further simplification for better understanding."
Alternatives: "nearly intricate" or "almost sophisticated".
We elaborate the almost Hermitian model of Lagrange mechanics on Lie algebroids and define the canonical nonlinear, metric, and distinguished connection and almost complex and symplectic structures all induced by regular Lagrangians.
The existence of canonical, almost complex and almost symplectic structures defined by Lagrangian and/or N-connection is very important for elaborating an approach to geometric quantization of mechanical systems modelled on nonholonomic manifolds [25] as well for a rigorous definition of nonholonomic (anisotropic) Clifford structures and spinors in commutative and noncommutative spaces [21, 22].
We may prove all results of the N-anholonomic Lie Algebroids Section (to define the canonical d-connection, the almost complex and almost symplectic structure,....) for the generalized Lagrange algebroids and satisfying the regularity condition by substituting the absolute energy instead of the Lagrange function.
But certainly the figure that takes on the most complex and almost tragic dimension was Rick Nelson (he loathed the name Ricky), a successful composer and rock star who struggled his entire life to escape the sanitized one-dimensional image of the kid brother in the television show.
Complex structures, almost complex manifolds and integrability, Hermitian and Kahler metrics, connections on complex vector bundles, Chern classes and Chern-Weil theory, Hodge and Dolbeault theory, vanishing theorems, Calabi-Yau manifolds, deformation theory.
Besides providing a new proof of this conjecture for the full non-Abelian group action case, our methods lead to a generalization for compact Lie group actions on manifolds that are not symplectic; these manifolds carry an invariant almost complex structure and an abstract moment map.
This manifold admits two natural almost complex structures and.
Let be an almost complex manifold and an almost Hermitian manifold.
Taking, the decomposition is clearly stable for both the almost complex structures and on.
Together with (2.3), this allows to define two almost complex structures and on by the formulae (2.9).
A regular Lagrangian defines a canonical, almost symplectic structure via the canonical N-connection, almost complex structure, and metric constructed on tangent bundles and/or on Lie algebroids.
