of Bologna) explore the (micro)hypoanalyticity and the Genrey hypoellipticity of sums of squares of

**vector fields**in terms of the Poisson-Treves stratification.This definition appears very frequently

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of Bologna) explore the (micro)hypoanalyticity and the Genrey hypoellipticity of sums of squares of **vector fields** in terms of the Poisson-Treves stratification.

In continuous time the **vector field** defining the dynamics of the system generates a one-parameter group of transformations, called the flow.

We shall assume that M is oriented (so that a unit normal **vector field** [xi] is defined on the whole M)and that the type number k(x) is greater than 0 everywhere on M.

Let U be the standard unit normal **vector field** on a surface M defined by U = [M.

Researchers in those and related fields describe recent findings on such matters as Lie group methods for modulus conserving differential equations, the physical realization and implications of the conformal-affine structure of open quantum relativity, the structure and cohomologies of wrap groups of connected fiber bundles, the module structure of the infinite-dimensional Lie algebra attached to a **vector field**, deformation and contraction schemes for non-solvable real Lie algebras up to dimension eight, and the automorphism of some geometric structures on orbifolds.

For a stationary space-time metric, there exists a **vector field** called a time-like Killing **vector field**.

Starting from a scalar image I, it is common to generate a **vector field** v(x) by computing the gradient of the image.