Transversally Complex Submanifolds of a Quaternion Projective Space
Transversally Complex Submanifolds of a Quaternion Projective Space
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四元数射影空间的横向复子流形
DOI：
10.1007/978-981-10-5556-0_19
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Kazumi Tsukada
中科院分区：
文献类型：
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作者：
Okuma;Tomohiro;秦泉寺 雅夫;Shoichi Fujimori;Masashi Misawa and Nobumitsu Nakauchi;Kazumi Tsukada
从四元数微分几何的观点出发，研究了四元数射影空间中的一类复子流形，我们称之为横截复子流形。厄米特对称空间的横复浸没有几个例子。对于横向复杂的浸入，一个关键的概念是与f关联的高斯映射，这是一种映射。我们的理论是Burstall、Ferus、Leschke、Pedit和Pinkall[4]“曲面的共形几何”理论的推广。
We study a kind of complex submanifolds in a quaternion projective space, which we call transversally complex submanifolds, from the viewpoint of quaternionic differential geometry. There are several examples of transversally complex immersions of Hermitian symmetric spaces. For a transversally complex immersion, a key notion is a Gauss map associated withf, which is a mapwith. Our theory is an attempt of a generalization of the theory “Conformal geometry of surfaces inand quaternions” by Burstall, Ferus, Leschke, Pedit, and Pinkall [4].