2 results
Defect relation for holomorphic maps from complex discs into projective varieties and hypersurfaces
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- Proceedings of the Edinburgh Mathematical Society , First View
- Published online by Cambridge University Press:
- 22 November 2024, pp. 1-16
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In this paper, we establish a second main theorem for holomorphic maps with finite growth index on complex discs intersecting arbitrary families of hypersurfaces (fixed and moving) in projective varieties, which gives an above bound of the sum of truncated defects. Our result also generalizes and improves many previous second main theorems for holomorphic maps from
${\mathbb{C}}$ intersecting hypersurfaces (moving and fixed) in projective varieties.
A SCHWARZ LEMMA FOR
$V$-HARMONIC MAPS AND THEIR APPLICATIONS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 96 / Issue 3 / December 2017
- Published online by Cambridge University Press:
- 17 August 2017, pp. 504-512
- Print publication:
- December 2017
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We establish a Schwarz lemma for
$V$-harmonic maps of generalised dilatation between Riemannian manifolds. We apply the result to obtain corresponding results for Weyl harmonic maps of generalised dilatation from conformal Weyl manifolds to Riemannian manifolds and holomorphic maps from almost Hermitian manifolds to quasi-Kähler and almost Kähler manifolds.
