논문KCI 등재
LEFT-INVARIANT MINIMAL UNIT VECTOR FIELDS ON THE SEMI-DIRECT PRODUCT Rn oP R
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참고문헌
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주제분류수학
초록
We provide the set of left-invariant minimal unit vector fields on the semi-direct product Rn oP R, where P is a nonsingular diagonal matrix and on the 7 classes of 4-dimensional solvable Lie groups of the form R3 oP R which are unimodular and of type (R).
Abstract
We provide the set of left-invariant minimal unit vector fields on the semi-direct product Rn oP R, where P is a nonsingular diagonal matrix and on the 7 classes of 4-dimensional solvable Lie groups of the form R3 oP R which are unimodular and of type (R).
참고문헌 (17)
- E. Boeckx, "Harmonic and minimal radial vector fields", Acta Math. Hungar., 90(4), pp.317~331 (2001)
- E. Boeckx, "Harmonic and minimal vector fields on tangent and unit tangent bundles", Differential Geom. Appl., 13(1), pp.77~93 (2000)
- O. Gil-Medriano, "Minimal unit vector fields", Tohoku Math. J., 54(1), pp.71~84 (2002)
- O. Gil-Medriano, "Second variation of volume and energy of vector fields. Stability of Hopf vector fields", Math. Ann., 320(3), pp.531~545 (2001)
- H. Gluck, "On the volume of a unit vector field on the three-sphere", Comment. Math. Helv., 61(2), pp.177~192 (1986)
- J. C. Gonzalez-Davila, "Examples of minimal unit vector fields, Special issue in memory of Alfred Gray (1939–1998)", Ann. Global Anal. Geom., 18(3), pp.385~404 (2000)
- J. C. Gonzalez-Davila, "Minimal and harmonic characteristic vector fields on three-dimensional contact metric manifolds", J. Geom., 72(1), pp.65~76 (2001)
- J. C. Gonzalez-Davila, "Energy and volume of unit vector fields on three-dimensional Riemannian manifolds", Differential Geom. Appl., 16(3), pp.225~244 (2002)
- D. L. Johnson, "Volumes of flows", Proc. Amer. Math. Soc., 104(3), pp.923~931 (1988)
- O. Kowalski, "omogeneous Riemannian manifolds with only one homogeneous geodesic", Publ. Math. Debrecen, 62(3), pp.437~446 (2003)
- 이종범, "Unimodular groups of type $\mathbb R^3\rtimes \mathbb R$", 대한수학회지, 44(5), pp.1121~1137 (2007), 대한수학회
- J. Milnor, "Curvatures of left invariant metrics on Lie groups", Advances in Math., 21(3), pp.293~329 (1976)
- S. L. Pedersen, "Volumes of vector fields on spheres", Trans. Amer. Math. Soc., 336(1), pp.69~78 (1993)
- W. A. Poor, "Differential Geometric Structures" (1981), McGraw-Hill Book Co.
- M. Salvai, "OOn the volume of unit vector fields on a compact semisimple Lie group", J. Lie Theory, 13(2), pp.457~464 (2003)
- K. Tsukada, "Invariant minimal unit vector fields on Lie groups", Period. Math. Hungar., 40(2), pp.123~133 (2000)
- 이승훈, "Left-invariant minimal unit vector fields on a Lie group of constant negative sectional curvature", 대한수학회보, 46(4), pp.713~720 (2009), 대한수학회
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