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Commutativity of Cho and structure Jacobi operators of a real hypersurface in a complex projective space

2014; Springer Science+Business Media; Volume: 194; Issue: 6 Linguagem: Inglês

10.1007/s10231-014-0444-0

1618-1891

Juan de Dios Pérez,

Holomorphic and Operator Theory

We consider real hypersurfaces $$M$$ in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any non-null constant $$k$$ and any vector field $$X$$ tangent to $$M$$ , we can define an operator on $$M$$ , $$F_X^{(k)}$$ , related to both connections. We study commutativity problems of these operators and the structure Jacobi operator of $$M$$ .