Spin$^c$ geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian submanifolds

From the existence of parallel spinor fields on Calabi-Yau, hyper-Kähler or complex flat manifolds, we deduce the existence of harmonic differential forms of different degrees on their minimal Lagrangian submanifolds. In particular, when the submanifolds are compact, we obtain sharp estimates on the...

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Bibliographic Details

Published in:	Mathematische Zeitschrift Vol. 253, Number 4; pp. 821 - 853
Main Authors:	Hijazi, Oussama, Montiel, S., Urbano, F.
Format:	Journal Article
Language:	English
Published:	Springer 2006
Subjects:	Differential Geometry Mathematics Hodge Laplacian Spin$^c$ geometry Lagrangian submanifolds Dirac operator
ISSN:	0025-5874, 1432-1823
Online Access:	Get full text
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