Generalized Action Principle and Geometric Approach for superstrings and super-p-branes

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In this short printed version of my talk I consider the generalized action for super-p-branes proposed previously in collaboration with D. Sorokin and Dmitrij V. Volkov. I describe briefly, the derivation doubly supersymmetric geometric approach from the generalized action and discuss one of the direction of its possible application.
4 pages. LATEX. Talk presented at the Conference on Quantum Field Theory, Alushta, May 1996. To be published in Proc. of the Conference

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