De, U. C.; Ghosh, Gopal Chandra On quasi Einstein manifolds. (English) Zbl 1059.53030 Period. Math. Hung. 48, No. 1-2, 223-231 (2004). Summary: In this paper we give some examples of a quasi Einstein manifold \((QE)_n\). Next we prove the existence of \((QE)_n\) manifolds. Then we study some properties of a quasi Einstein manifold. Finally the hypersurfaces of a Euclidean space have been studied. Cited in 1 ReviewCited in 26 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:quasi Einstein manifold; quasi-constant curvature; quasi-umbilical hypersurface Citations:Zbl 1060.53038 PDFBibTeX XMLCite \textit{U. C. De} and \textit{G. C. Ghosh}, Period. Math. Hung. 48, No. 1--2, 223--231 (2004; Zbl 1059.53030) Full Text: DOI