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Variational problems in topology. The geometry of length, area and volume. Transl. from the Russian. (English) Zbl 0716.53004

New York etc.: Gordon and Breach Science Publishers. x, 225 p. $ 120.00 (1990).
For a review of the Russian original (1984), cf. Zbl 0679.49001.

MSC:

53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
49-02 Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control
49Qxx Manifolds and measure-geometric topics
58-02 Research exposition (monographs, survey articles) pertaining to global analysis
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
58Exx Variational problems in infinite-dimensional spaces

Citations:

Zbl 0679.49001