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Sasakian structures on products of real line and K\"{a}hlerian manifold
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In this paper, we construct a Sasakian manifold by the product of real line and K\"{a}hlerian manifold with exact K\"{a}hler form. This result demonstrates the close relation between Sasakian and K\"{a}hlerian manifold with exact K\"{a}hler form. We present an example and an open problem.
Abstract
In this paper, we construct a Sasakian manifold by the product of real line and K\"{a}hlerian manifold with exact K\"{a}hler form. This result demonstrates the close relation between Sasakian and K\"{a}hlerian manifold with exact K\"{a}hler form. We present an example and an open problem.
참고문헌 (6)
- D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds", Progress in Mathematics, 203 (2002)
- C.P. Boyer, "Sasakian Geometry" (2007), Oxford Univ. Press
- S. Kobayashi, "Foundations of Dierential Geometry I, II" (1969)
- O'Neil, "Semi- Riemannian Geometry" (1983), Academic Press
- J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32, pp.187~193 (1985)
- K. Yano, "Structures on Manifolds, Series in Pure Math., Vol MAT" (1984)
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