On weak and strict relatives K\'ahler manifolds

التفاصيل البيبلوغرافية
العنوان: On weak and strict relatives K\'ahler manifolds
المؤلفون: Placini, Giovanni
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry, 53C42 (Primary) 53C24, 32Q15, 53B35 (Secondary)
الوصف: We study K\"ahler manifolds that are (weak) relatives, that is, K\"ahler manifolds which share a (locally isometric) submanifold. In particular, we prove that if two K\"ahler manifolds are weak relatives and one of them is projective, then they are relatives. Moreover, we introduce the notion of strict relatives K\"ahler manifolds and provide several nontrivial examples.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2306.16174
رقم الأكسشن: edsarx.2306.16174
قاعدة البيانات: arXiv