Conformal and Killing vector fields on real submanifolds of the canonical complex space form C ͫ

• Autores: Hanan Alohali, Haila Alodan, Sharief Deshmukh
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 417-430
• Idioma: inglés
• DOI: 10.33044/revuma.v60n2a09
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• Resumen

  • In this paper, we find a conformal vector field as well as a Killing vector field on a compact real submanifold of the canonical complex space form (Cm, J, h , i). In particular, using immersion ψ : M → Cm of a compact real submanifold M and the complex structure J of the canonical complex space form (Cm, J, h , i), we find conditions under which the tangential component of Jψ is a conformal vector field as well as conditions under which it is a Killing vector field. Finally, we obtain a characterization of n-spheres in the canonical complex space form (Cm, J, h , i).

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