ON SOME HYPERCOMPLEX 4-DIMENSIONAL LIE GROUPS OF CONSTANT SCALAR CURVATURE
2009 ◽
Vol 06
(04)
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pp. 619-624
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Keyword(s):
In this paper we study sectional curvature of invariant hyper-Hermitian metrics on simply connected 4-dimensional real Lie groups admitting invariant hypercomplex structure. We give the Levi–Civita connections and explicit formulas for computing sectional curvatures of these metrics and show that all these spaces have constant scalar curvature. We also show that they are flat or they have only non-negative or non-positive sectional curvature.
2011 ◽
Vol 08
(03)
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pp. 501-510
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2002 ◽
Vol 74
(4)
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pp. 589-597
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1978 ◽
Vol 30
(5)
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pp. 1087-1091
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2019 ◽
Vol 169
(2)
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pp. 357-376
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2015 ◽
Vol 26
(04)
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pp. 1540006
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2020 ◽
Vol 2020
(763)
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pp. 129-199
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2014 ◽
Vol 142
(6)
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pp. 2119-2122
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1998 ◽
Vol 150
◽
pp. 105-134
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1985 ◽
Vol 38
(1)
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pp. 55-64
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Keyword(s):