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Structures On Differentiable Manifolds

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Progress in Mathematics

Part of the book series: Progress in Mathematics ((PM,volume 9))

Abstract

Structures on differentiable manifolds have been very intensively studied in recent years both in differential topology as well as in differential geometry. Along with almost complex structures a systematic examination was begun of almost contact, affinor, symplectic, quaternion, and many other structures, a simple listing of which would take up considerable space. Not all of these structures are of equal value, but there is no doubt that the study of manifolds with various structures is of interest from both the global as well as the local point of view; moreover, for certain structures the possibility was outlined for applying them to various aspects of geometry and mechanics.

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Shirokov, A.P. (1971). Structures On Differentiable Manifolds. In: Gamkrelidze, R.V. (eds) Progress in Mathematics. Progress in Mathematics, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3306-7_4

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