ON DOUBLY WARPED PRODUCTS
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.2, ss.1329-1335, 2020 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.31801/cfsuasmas.635048
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1329-1335
- İstanbul Üniversitesi Adresli: Evet
Özet
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.