Explicit formulas for biharmonic submanifolds in Sasakian space forms

• Autores: Dorel Fetcu, Cezar Oniciuc
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 240, Nº 1, 2009, págs. 85-107
• Idioma: inglés
• DOI: 10.2140/pjm.2009.240.85
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• Resumen

  • We classify all biharmonic Legendre curves in a Sasakian space form and obtain their explicit parametric equations in the (2n + 1)-dimensional unit sphere endowed with the canonical and deformed Sasakian structures defined by Tanno. We also show that, under the flow-action of the characteristic vector field, a biharmonic integral submanifold becomes a biharmonic anti-invariant submanifold. Then, we obtain new examples of biharmonic submanifolds in the Euclidean sphere S7.