Vector Field(redirected from Tangent bundle section)
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Related to Tangent bundle section: Whitney sum, Vector bundle, Tangent vector bundle, Zero section
vector field[′vek·tər ‚fēld]
a region, at each point P of which a vector a(P) is assigned. Mathematically, a vector field can be defined in a given region G by the vector function a(P) of the variable point P of this region. A whole series of physical phenomena and processes (for example, the vectors of the velocities of a moving fluid’s particles at each moment of time form a vector field) lead to the concept of a vector field. Vector-field theory has been extensively developed and has diverse applications in various branches of natural science.
REFERENCEBudak, B. M., and S. V. Fomin. Kratnye integraly i riady, 2nd ed.Moscow, 1967.
E. G. POZNIAK