Abstract
We consider a certain lift from an almost Hermite submanifold to the bundle of partially complex structures of the ambient manifold. In particular, nearly Kähler submanifolds in Euclidean spaces such that the lifts are vertically pluri-harmonic are studied.
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Acknowledgements
The author would like to thank to organizers for giving him the opportunity to talk at the conference “The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds". This work is partially supported by JSPS KAKENHI Grant Number 15K04839.
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Hasegawa, K. (2017). A Nearly Kähler Submanifold with Vertically Pluri-Harmonic Lift. In: Suh, Y., Ohnita, Y., Zhou, J., Kim, B., Lee, H. (eds) Hermitian–Grassmannian Submanifolds. Springer Proceedings in Mathematics & Statistics, vol 203. Springer, Singapore. https://doi.org/10.1007/978-981-10-5556-0_5
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DOI: https://doi.org/10.1007/978-981-10-5556-0_5
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