LEFT-INVARIANT MINIMAL UNIT VECTOR FIELDS ON A LIE GROUP OF CONSTANT NEGATIVE SECTIONAL CURVATURE
نویسندگان
چکیده
منابع مشابه
Left-invariant Minimal Unit Vector Fields on a Lie Group of Constant Negative Sectional Curvature
We find all left-invariant minimal unit vector fields and strongly normal unit vector fields on a Lie group which is isometric to the hyperbolic space.
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Let λ > 0 be a positive real number, and let n ≥ 1 be an integer. Let G = R×sR be a semi-direct product Lie group where the group multiplication in G is defined by (v1, x1) ∗ (v2, x2) = (v1 + ev2, x1 + x2) for all vi ∈ R, xi ∈ R, and i = 1, 2. We show G has constant sectional curvature −λ, and describe the irreducible unitary representations of G. 2010 Mathematic Subject Classification: 22D10, ...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2009
ISSN: 1015-8634
DOI: 10.4134/bkms.2009.46.4.713