Riemannian submanifolds with concircular canonical field
Bull. Korean Math. Soc.
Published online 2019 Mar 11
Bang-Yen Chen, and Shihshu Walter Wei
Michigan State University, University of Oklahoma
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
MSC numbers : 53C40, 53C42
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