A Practical Criterion For Some Submanifolds To Be Totally Geodesic

• Autores: Young Ho Kim, Sadahiro Maeda
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 149, Nº 3, 2006, págs. 233-242
• Idioma: inglés
• DOI: 10.1007/s00605-005-0379-z
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• Resumen

  • Our main theorem is a characterization of a totally geodesic Kähler immersion of a complex n-dimensional Kähler manifold M n into an arbitrary complex (n + p)-dimensional Kähler manifold by observing the extrinsic shape of Kähler Frenet curves on the submanifold M n . Those curves are closely related to the complex structure of M n .