Curvature of Almost Split Quaternion Kaehler Manifolds
In this work some characterizations of semi Riemannian curvature tensor on almost split quaternion Kaehler manifolds and some characterizations of Ricci tensor on almost split quaternion Kaehler manifolds are given.
[1] J. Inoguchi, Timelike Surface of Constant Mean Curvature in Minkowski 3-space,Tokyo J. Math., 21, no. 1,1998, 140-152. [2] B. O'Neill, Semi Riemannian Geometry. Academic Press, New York,1983. [3] K. Yano,. and M.Kon, Structures on Manifolds. World Scientific Publishing,1984. [4] J.P. Ward, Quaternions and Cayley Numbers, Kluwer Academic Publishers,1997. [5] A. Do─ƒanaksoy, Almost Quaternionic Substructures, Do─ƒa Turkish J. of Math 16,1992, 109-118.
[1] J. Inoguchi, Timelike Surface of Constant Mean Curvature in Minkowski 3-space,Tokyo J. Math., 21, no. 1,1998, 140-152. [2] B. O'Neill, Semi Riemannian Geometry. Academic Press, New York,1983. [3] K. Yano,. and M.Kon, Structures on Manifolds. World Scientific Publishing,1984. [4] J.P. Ward, Quaternions and Cayley Numbers, Kluwer Academic Publishers,1997. [5] A. Do─ƒanaksoy, Almost Quaternionic Substructures, Do─ƒa Turkish J. of Math 16,1992, 109-118.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:52164", author = "Erhan Ata and H. Hilmi Hacisalihoğlu and Yusuf Yayli", title = "Curvature of Almost Split Quaternion Kaehler Manifolds ", abstract = "In this work some characterizations of semi Riemannian curvature tensor on almost split quaternion Kaehler manifolds and some characterizations of Ricci tensor on almost split quaternion Kaehler manifolds are given. ", keywords = "Almost split quaternion Kaehler manifold,Riemann curvature, Ricci curvature.", volume = "1", number = "1", pages = "27-8", }