A Geometric Intrepertation for the Hans Lewy Operator
In this paper, the standard almost complex structure on the tangent bunle of a Riemannian manifold will be generalized. We will generalize the standard one to the new ones such that the induced -tensor on the tangent bundle using these structures and Liouville -form will be a Riemannian metric. Moreover, under the integrability condition, the curvature operator of the base manifold will be classified.
To calculate the zeros of a map f : Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.