On Douglas warped product metrics
Differential Geometry
2022-09-29 v3 Metric Geometry
Abstract
We study the new warped metric proposed by P. Marcal and Z. Shen. We obtain the differential equation of such metrics with vanishing Douglas curvature. By solving this equation, we obtain all Douglas warped product metrics. We show that Landsberg and Berwald warped product metrics are equivalent. We classify Douglas Ricci-flat metrics. Examples are included.
Cite
@article{arxiv.2110.00875,
title = {On Douglas warped product metrics},
author = {Newton Mayer Solórzano Chávez},
journal= {arXiv preprint arXiv:2110.00875},
year = {2022}
}
Comments
Corrections on Theorem 2 and corollaries