Work

New conditions on some derivatives of the structure Lie operator on a real hypersurface in complex projective space

Year: 2025

Type: article

Abstract: Let M be a real hypersurface in complex projective space equipped with both the Levi-Civita and kth generalized Tanaka-Webster connections, for any nonnull real number k. For any operator B on M we can define two tensor fields of type (1,2) on M, $$\displaystyle B_F^{(k)}$$ B F ( k ) and $$\displaystyle B_T^{(k)}$$ B T ( k ) , related to both connections. In the particular case of $$\displaystyle B=L$$ B = L , the structure Lie operator on M, we study purity and hybridness of $$\displaystyle L_F^{(k)}$$ L F ( k ) and $$\displaystyle L_T^{(k)}$$ L T ( k ) with respect to the structure operator $$\displaystyle \phi $$ ϕ .

Source: Journal of Geometry

DOI: 10.1007/s00022-025-00757-6

Authors: Juan de Dios Pérez, David Pérez-López

Institution: Universidad de Granada

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Ministerio de Ciencia e Innovación, Universidad de Granada, Junta de Andalucía