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Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. (English) Zbl 0751.53001
Graduate Texts in Mathematics. 93. New York etc.: Springer-Verlag. xv, 468 p., 45 Ill. (1992).
The text of this edition has been substantially revised. A few additions are included: Skew-symmetric tensors of type $$(k,0)$$, left-invariant fields defined on transformation groups and invariant metrics on these groups. The first Russian original has been reviewed in Zbl 0433.53001, the first English translation in Zbl 0529.53002.

##### MSC:
 53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 51-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry 49-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control