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arXiv · 2006.11961

Generalized neck analysis of harmonic maps from surfaces

Hao Yin
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Abstract

In this paper, we study the behavior of a sequence of harmonic maps from surfaces with uniformly bounded energy on the generalized neck domain. The generalized neck domain is a union of ghost bubbles and annular neck domains, which connects non-trivial bubbles. An upper bound of the energy density is proved and we use it to study the limit of the nullity and index of the sequence.

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Hao Yin. 2020-06-22. Generalized neck analysis of harmonic maps from surfaces. https://arxiv.org/abs/2006.11961

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