We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Three-webs with covariantly constant curvature and torsion tensors.
- Authors
Pidzhakova, L.
- Abstract
In this paper, we study a special class of multidimensional 3-webs with covariantly constant curvature and torsion tensors. In the first part, we prove that 3-webs of the class belong to G-webs, i.e., there is a subfamily of adapted frames whose components of curvature and torsion tensors are constant. The structure of the homogeneous space G/H carrying the 3-web is described. Structure equations of the G-group are found. In the second part, we find structure equations of the W-web and finite equations of some special web classes.
- Subjects
WEBS (Differential geometry); ANALYSIS of covariance; SPACES of constant curvature; TORSION; TENSOR products; HOMOGENEOUS spaces; MATHEMATICAL analysis
- Publication
Journal of Mathematical Sciences, 2011, Vol 177, Issue 4, p597
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-011-0485-5