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A new classification on parallel Ricci tensor for real hypersurfaces in the complex quadric.
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics; Dec2021, Vol. 151 Issue 6, p1846-1868, 23p
- Publication Year :
- 2021
-
Abstract
- First we introduce the notion of parallel Ricci tensor ∇Ric = 0 for real hypersurfaces in the complex quadric Q<superscript>m</superscript> = SO<subscript>m+2</subscript>/SO<subscript>m</subscript>SO<subscript>2</subscript> and show that the unit normal vector field N is singular. Next we give a new classification of real hypersurfaces in the complex quadric Q<superscript>m</superscript> = SO<subscript>m+2</subscript>/SO<subscript>m</subscript>SO<subscript>2</subscript> with parallel Ricci tensor. [ABSTRACT FROM AUTHOR]
- Subjects :
- HYPERSURFACES
QUADRICS
KAHLERIAN structures
KAHLERIAN manifolds
GRASSMANN manifolds
Subjects
Details
- Language :
- English
- ISSN :
- 03082105
- Volume :
- 151
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 154008743
- Full Text :
- https://doi.org/10.1017/prm.2020.83