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In this paper, we get a complete condition for a group homomorphism of a compact Lie group with an arbitrarily given left invariant Riemannian metric into another Lie group with a left invariant metric to be a harmonic map, and then obtain a necessary and sufficient condition for a group homomorphism of (SU(2), g) with a left invariant metric g into the Heisenberg group (H, $h_0$) to be a harmonic map.
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참고문헌 (7)
참고문헌 신청
김현웅 / 2012 / RICCI AND SCALAR CURVATURES ON SU(3) / 호남수학학술지 34(2):231~239
S. Kobayashi / 1963 / Foundations of Di®erential Geometry, Vol. I / In-terscience Pub
J.-S. Park / 1994 / Yang-Mills connections in orthonormal frame bundles over SU(2), / Tsukuba J. Math. 18:203~206
J.-S. Park / 2005 / Critical homogeneous metrics on the Heisenberg manifold / Int. Inform. Sci. 11:31~34
J.-S. Park / 1996 / The Abbena-Thurston manifold as a critical point / Can. Math. Bull. 39:352~359
S. Kobayashi / 1963 / Foundations of Di®erential Geometry, Vol. I / In-terscience Pub
J.-S. Park / 1994 / Yang-Mills connections in orthonormal frame bundles over SU(2), / Tsukuba J. Math. 18:203~206
J.-S. Park / 2005 / Critical homogeneous metrics on the Heisenberg manifold / Int. Inform. Sci. 11:31~34
J.-S. Park / 1996 / The Abbena-Thurston manifold as a critical point / Can. Math. Bull. 39:352~359
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