کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4665415 | 1633814 | 2015 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Conification construction for Kähler manifolds and its application in c-projective geometry
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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چکیده انگلیسی
Two Kähler metrics on a complex manifold are called c-projectively equivalent if their J-planar curves coincide. Such curves are defined by the property that the acceleration is complex proportional to the velocity. The degree of mobility of a Kähler metric is the dimension of the space of metrics that are c-projectively equivalent to it. We give the list of all possible values of the degree of mobility of a simply connected Kähler manifold by reducing the problem to the study of parallel Hermitian (0,2)-tensors on the conification of the manifold. We also describe all such values for a Kähler-Einstein metric. We apply these results to describe all possible dimensions of the space of essential c-projective vector fields of Kähler and Kähler-Einstein metrics. We also show that two c-projectively equivalent Kähler-Einstein metrics (of arbitrary signature) on a closed manifold have constant holomorphic curvature or are affinely equivalent.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 274, 9 April 2015, Pages 1-38
Journal: Advances in Mathematics - Volume 274, 9 April 2015, Pages 1-38
نویسندگان
Vladimir S. Matveev, Stefan Rosemann,