In this paper, we establish a generalized Wintgen inequality for quaternionic bi-slant submanifolds and QR-submanifolds (with minimal codimension) in quaternion space forms. We also aim to characterize the second fundamental form of those submanifolds for which the equality cases can hold. Finally, we provide examples of submanifolds embedded in quaternion space forms to support our results.

中文翻译：

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四元数凯勒几何中的广义温特根不等式

在本文中，我们建立了四元数空间形式的四元双倾斜子流形和 QR 子流形（具有最小余维）的广义温特根不等式。我们还旨在描述平等案例可以适用的那些子流形的第二种基本形式。最后，我们提供了嵌入四元数空间形式的子流形的示例来支持我们的结果。