Real hypersurfaces of complex space forms satisfying FischerMarsden equation

Title

Real hypersurfaces of complex space forms satisfying FischerMarsden equation

Creator

Venkatesha V.; Naik D.M.; Kumara H.A.

Description

Let M be a real hypersurface of a complex space form of constant curvature c. In this paper, we study the hypersurface M which admits a nontrivial solution to FischerMarsden equation, that is, the induce metric g of M satisfies Hessg(?) = (?g?) g+ ?Sg, where ? is a nontrivial function. We prove that there does not exist a complete Hopf real hypersurface in a non-flat complex space form satisfying FischerMarsden equation. Finally, we show that a complete real hypersurface with A?= ??, ?? 0 , of a complex Euclidean space Cn satisfying FischerMarsden equation is locally congruent to a sphere or S1R2n-2. 2021, Universitdegli Studi di Ferrara.

Source

Annali dell'Universita di Ferrara, Vol-67, No. 1, pp. 203-216.

Date

2021-01-01

Publisher

Springer-Verlag Italia s.r.l.

Subject

Complex Euclidean space; FischerMarsden equation; Hopf hypersurface; Non-flat complex space form

Coverage

Venkatesha V., Department of Mathematics, Kuvempu University, Shivamogga, Karnataka, India; Naik D.M., Department of Mathematics, Kuvempu University, Shivamogga, Karnataka, India, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Kumara H.A., Department of Mathematics, Kuvempu University, Shivamogga, Karnataka, India

Rights

Restricted Access

Relation

ISSN: 4303202

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1007/s11565-021-00361-x

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