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A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms
- Source :
- Mathematics, Volume 8, Issue 4, Digibug. Repositorio Institucional de la Universidad de Granada, instname, Mathematics, Vol 8, Iss 642, p 642 (2020)
- Publication Year :
- 2020
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2020.
-
Abstract
- The authors would like to thank the reviewers for their valuable comments in order to improve the paper.<br />The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form. For any nonnull constant k and any vector field X tangent to M the k-th Cho operator F (k) X is defined and is related to both connections. If X belongs to the maximal holomorphic distribution D on M, the corresponding operator does not depend on k and is denoted by FX and called Cho operator. In this paper, real hypersurfaces in non-flat space forms such that FXS = SFX, where S denotes the Ricci tensor of M and a further condition is satisfied, are classified.
- Subjects :
- Pure mathematics
General Mathematics
Holomorphic function
Ricci tensor
01 natural sciences
k-th generalized Tanaka–Webster connection
Complex space
Real hypersurface
Computer Science (miscellaneous)
0101 mathematics
Engineering (miscellaneous)
GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries)
Ricci curvature
Physics
Mathematics::Complex Variables
lcsh:Mathematics
Operator (physics)
010102 general mathematics
Tangent
k-th Cho operator
lcsh:QA1-939
Connection (mathematics)
010101 applied mathematics
real hypersurface
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Distribution (mathematics)
Hypersurface
Non-flat complex space form
non-flat complex space form
Computer Science::Programming Languages
Mathematics::Differential Geometry
k-th generalized Tanaka-Webster connection
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....42e5b53ec17fb0bb504f866809b700a6
- Full Text :
- https://doi.org/10.3390/math8040642