Generalized Sasakian-space-forms are introduced and studied. Many examples of these manifolds are presented, by using some different geometric techniques such as Riemannian submersions, warped products or conformal and related transformations. New results on generalized complex-space-forms are also obtained.
KeywordsVector Field Sectional Curvature Curvature Tensor Warped Product Sasakian Manifold
Unable to display preview. Download preview PDF.
- S. Ianus and D. Smaranda,Some remarkable structures on the product of an almost contact metric manifold with the real line, inNational Colloquium on Geometry and Topology, University of Timişoara, 1977, pp. 107–110.Google Scholar
- B. O’Neill,Semi-Rimannian Geometry with Applications to Relativity, Pure and Applied Mathematics 103, Academic Press, New York, 1983.Google Scholar