Euclidean submanifolds with Jacobi mean curvature vector field |
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| Authors: | Manuel Barros Oscar J. Garay |
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| Affiliation: | (1) Departamento de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain;(2) Departamento de Matemáticas Facultad de Ciencias, Universidad del Pais Vasco-Euskal Herriko Unibertsitatea, Aptdo 644, Bilbao, Spain |
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| Abstract: | We study submanifolds in the Euclidean space whose mean curvature vector field is a Jacobi field. First, we characterize them and produce non-trivial (non-minimal) examples and then, we look for additional conditions which imply minimality.Research partially supported by a DGICYT grant No PB94-0705-C02-01 and by a grant of Gobierno Vasco PI95/95 |
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