We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Space of Affine Connections of an Almost Hermitian Manifold.
- Authors
Gorginyan, Yu. A.; Ignatochkina, L. A.
- Abstract
We consider affine connections determined by an almost Hermitian structure of a smooth manifold. We prove that the affine space of connections considered has dimension 12 if and only if the Lie form of the almost Hermitian structure is nonzero. We find connections that determine post- Riemannian geometries and almost Hermitian connections in the class W4. We examine conformal transformations of almost Hermitian structures and affine mappings of connections generated by these transformation and find connections invariant under these mappings.
- Subjects
HERMITIAN structures; CONFORMAL mapping; HERMITIAN forms
- Publication
Journal of Mathematical Sciences, 2023, Vol 276, Issue 4, p498
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06770-x