The -curvature of homogeneous -metrics.
Deng, Shaoqiang, Wang, Xiaoyang (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Deng, Shaoqiang, Wang, Xiaoyang (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Aldea, Nicoleta (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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H. R. Salimi Moghaddam (2009)
Archivum Mathematicum
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In this paper, firstly we study some left invariant Riemannian metrics on para-hypercomplex 4-dimensional Lie groups. In each Lie group, the Levi-Civita connection and sectional curvature have been given explicitly. We also show these spaces have constant negative scalar curvatures. Then by using left invariant Riemannian metrics introduced in the first part, we construct some left invariant Randers metrics of Berwald type. The explicit formulas for computing flag curvature have been...
Tayebi, Akbar, Peyghan, Esmaeil (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Cheng, Xinyue, Shen, Zhongmin (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Yecheng Zhu, Wenming Hu (2013)
Archivum Mathematicum
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In this paper, we generalize the Hessian comparison theorems and Laplacian comparison theorems described in [16, 18], then give some applications under various curvature conditions.
Vacaru, Sergiu I. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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