Open AccessA Note on Riemannian Supermanifolds
Author(s) -
S. Zakiuddin Ali
Publication year - 1970
Publication title -
bangladesh journal of scientific and industrial research
Language(s) - English
Resource type - Journals
eISSN - 2224-7157
pISSN - 0304-9809
DOI - 10.3329/bjsir.v42i2.465
Subject(s) - supermanifold , viewpoints , mathematics , riemannian geometry , curvature , pure mathematics , torsion (gastropod) , algebra over a field , geometry , physics , medicine , surgery , acoustics
The present research develops a theory of Riemannian supermanifolds up to a definition of Riemannian superspaces. Various fundamental concepts needed for the study of these spaces both from the Riemannian and the Lie theoretical viewpoints are introduced and some new notions of local forms of the torsion and curvature tensors are established for deriving certain constraints in classical case which is known as the super Bianchi identities.
Bangladesh J. Sci. Ind. Res. 42(2), 121-134, 2007