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http://dx.doi.org/10.4134/BKMS.b181232

RIEMANNIAN SUBMANIFOLDS WITH CONCIRCULAR CANONICAL FIELD  

Chen, Bang-Yen (Department of Mathematics Michigan State University)
Wei, Shihshu Walter (Department of Mathematics University of Oklahoma)
Publication Information
Bulletin of the Korean Mathematical Society / v.56, no.6, 2019 , pp. 1525-1537 More about this Journal
Abstract
Let ${\tilde{M}}$ be a Riemannian manifold equipped with a concircular vector field ${\tilde{X}}$ and M a submanifold (with its induced metric) of ${\tilde{M}}$. Denote by X the restriction of ${\tilde{X}}$ on M and by $X^T$ the tangential component of X, called the canonical field of M. In this article we study submanifolds of ${\tilde{M}}$ whose canonical field $X^T$ is also concircular. Several characterizations and classification results in this respect are obtained.
Keywords
concircular canonical field; canonical field; conservative vector field; conformal canonical field;
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