کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1896246 1044420 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pluripotential theory on quaternionic manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Pluripotential theory on quaternionic manifolds
چکیده انگلیسی

On any quaternionic manifold of dimension greater than 4 a class of plurisubharmonic functions (or, rather, sections of an appropriate line bundle) is introduced. Then a Monge-Ampère operator is defined. It is shown that it satisfies a version of the theorems of A. D. Alexandrov and Chern–Levine–Nirenberg. For more special classes of manifolds analogous results were previously obtained in Alesker (2003) [1] for the flat quaternionic space HnHn and in Alesker and Verbitsky (2006) [5] for hypercomplex manifolds. One of the new technical aspects of the present paper is the systematic use of the Baston differential operators, for which we also prove a new multiplicativity property.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 5, May 2012, Pages 1189–1206
نویسندگان
,