@article{YANG_1998, title={ON WARPED PRODUCT MANIFOLDS - CONFORMAL FLATNESS AND CONSTANT SCALAR CURVATURE PROBLEM}, volume={29}, url={https://journals.math.tku.edu.tw/index.php/TKJM/article/view/4272}, DOI={10.5556/j.tkjm.29.1998.4272}, abstractNote={<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><span style="font-size: 11.000000pt; font-family: ’TimesNewRomanPSMT’;">In this paper, we study some geometric properties on doubly or singly warped­ product manifolds. In general, on a fixed topological product manifold, the problem for finding warped-product metrics satisfying certain curvature conditions are finally reduced to find positive solutions of linear or non-linear differential equations. Here, we are mainly interested in the following problems on essentially warped-product manifolds: one is the sufficient and necessary conditions for conformal flatness, and the other is to find warped-product metrics so that their scalar curvatures are contants. </span></p> </div> </div> </div>}, number={3}, journal={Tamkang Journal of Mathematics}, author={YANG, KWANG-WU}, year={1998}, month={Sep.}, pages={203–221} }