Work

A precise determination of the contact CR $$\delta $$-invariant for typical submanifolds within a Lorentz-Sasakian space form

Year: 2025

Type: article

Abstract: The concept of a contact CR-submanifold in a Sasakian manifold (Yano and Kon in Geom Dedicata 10:369-391, 1981) relates deeply to CR geometry, which originated from the study of real hypersurfaces in complex manifolds (Bejancu in Geometry of CR submanifolds. D. Reidel Publishing Company, Dordrecht, 1986). Initially introduced for anti-holomorphic submanifolds in complex space forms (Chen in Int J Math 23(3):1250045, 2012), the CR $$\delta $$ δ -invariant has recently been extended to Sasakian space forms (Mihai and Presura in J Geom 109:34, 2018). This article establishes an optimal inequality concerning the contact CR $$\delta $$ δ -invariant on contact CR-submanifolds within the Lorentz-Sasakian space form.

Source: Journal of Geometry

DOI: 10.1007/s00022-025-00749-6

Authors: Octavian Postavaru, Ion Mihai

Institutions: Universitatea Națională de Știință și Tehnologie Politehnica București, University of Bucharest

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4410116740