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TRANSVERSAL HOLOMORPHIC MAPS FOR KÄHLER FOLIATIONS

H. K. Pak
장전수학회 (Jangjeon Mathematical Society)|2015.01|Advanced Studies in Contemporary Mathematics|제25권 제1호|pp. 9-17

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참고문헌

키워드

Kähler foliationtransversal harmonic maptransversal holomorphic map
주제분류수학

초록

The present paper treats transversal holomorphic maps in the foliation context. We show that such a map for Kähler foliations is a transversal harmonic map with the minimum energy in its foliated homotopy class. Our results extend [Li], [I-P], [G-K], [Fe].

Abstract

The present paper treats transversal holomorphic maps in the foliation context. We show that such a map for Kähler foliations is a transversal harmonic map with the minimum energy in its foliated homotopy class. Our results extend [Li], [I-P], [G-K], [Fe].

참고문헌 (13)

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  7. J. J. Konderak, "Transversally harmonic maps between manifolds with Riemannian foliations", Q. J. Math, 54, pp.335~354 (2003)
  8. J. J. Konderak, "Some remarks on transversally harmonic maps", Glasgow Math. J, 50, pp.1~16 (2008)
  9. A. Lichnerowicz, "Applitions harmoniques et varietes kahleriennes", Sympos. Math, 3, pp.341~402 (1970)
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  11. H. K. Pak, "Transversal harmonic transformations for Kahler foliations", Adv. Studies Contemp. Math, 11, pp.235~244 (2005)
  12. H. K. Pak, "Transversal harmonic transformations for Riemannian foliations", Ann. Glob. Anal. Geom, 30, pp.97~105 (2006)
  13. Y. Xin, "Geometry of harmonic maps" (1996), Birkhauser

관련 논문AI추천

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