Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2
ON DOUBLY WARPED PRODUCTS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1329–1335
- DOI
- —
Abstract
We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product. As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4.The characters in abstract should be between 500 to 5000