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
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Conification construction for Kähler manifolds and its application in c-projective geometry
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
نویسندگان
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