Bull. Korean Math. Soc. 2019; 56(6): 1525-1537
Online first article August 6, 2019 Printed November 30, 2019
https://doi.org/10.4134/BKMS.b181232
Copyright © The Korean Mathematical Society.
Bang-Yen Chen, Shihshu Walter Wei
Michigan State University; University of Oklahoma
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
2014; 51(2): 531-538
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd