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- Title
Degenerate Multilinear Forms and Hermitian and Para-Hermitian Structures.
- Authors
Kornev, E. S.
- Abstract
We describe some method for obtaining families of complex and paracomplex structures on real manifolds by using degenerate skew-symmetric multilinear forms. To construct these structures, we employ a skew-symmetric form with nontrivial radical and obtain a family of almost complex structures on the six-dimensional sphere different from the Cayley structure and families of Hermitian and para-Hermitian structures on some six-dimensional manifolds.
- Subjects
HERMITIAN structures; HERMITIAN forms; FAMILY structure; CAYLEY graphs
- Publication
Siberian Mathematical Journal, 2023, Vol 64, Issue 3, p611
- ISSN
0037-4466
- Publication type
Article
- DOI
10.1134/S0037446623030096