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 |