published by Damascus University
in 2003
in Mathematics
and research's language is
العربية
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Abstract in English
A class of complex differential spaces is defined in a natural way. The
notions of smooth mapping, tangent vectors and vector fields on these spaces
are introduced, so that the fundamental notions in differential geometry can be
formulated.
References used
Raoul Bott, S. S. Chern, “ Hermitian vector bundles and the equi distribution of the zeroes of their holomorphic sections, “ Acta Math.,1965
S. S. Chern, “ Differential geometry of fibre bundles, “ Proc. Of the International Conf. Of Mathematicians, II1950
J. Gruszczak, M. Heller, “Differential structures of space – time and its prolongation to singular boundaries, “ International Journal of Theoretical Physics,1993