New characterizations of ruled real hypersurfaces in complex projective space
Metadatos
Mostrar el registro completo del ítemEditorial
Springer Nature
Materia
g-Tanaka-Webster connection Complex projective space Real hypersurface kth Cho operator Torsion operator Ruled real hypersurfaces
Fecha
2023-08-10Referencia bibliográfica
Pérez, J.d.D., Pérez-López, D. New characterizations of ruled real hypersurfaces in complex projective space. Period Math Hung (2023). [https://doi.org/10.1007/s10998-023-00532-7]
Patrocinador
MICINN Project PID 2020-116126GB-100; Junta de Andalucía Project PY20-0139; Universidad de Granada/CBUAResumen
We consider real hypersurfaces M in complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any nonnull constant k and any symmetric tensor field of type (1, 1) L on M, we can define two tensor fields of type (1, 2) on M, LF(k) and LT(k) , related to both connections. We study the behaviour of the structure operator ϕ with respect to such tensor fields in the particular case of L= A , the shape operator of M, and obtain some new characterizations of ruled real hypersurfaces in complex projective space.