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The upper critical field in MgB2 is investigated in the framework of thetwo-gap Ginzburg-Landau theory. A variational solution of linearizedGinzburg-Landau equations agrees well with the Landau level expansion anddemonstrates that spatial distributions of the gap functions are different inthe two bands and change with temperature. The temperature variation of theratio of two gaps is responsible for the upward temperature dependence ofin-plane Hc2 as well as for the deviation of its out-of-plane behavior from thestandard angular dependence. The hexagonal in-plane modulations of Hc2 canchange sign with decreasing temperature.Comment: 6 pages, 6 figures, accepted in the European Physical Journal

Anisotropy of the upper critical field in MgB2: the two-gap Ginzburg-Landau theory