We present a reduction procedure for locally conformally symplectic manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular value of the momentum mapping. Under certain conditions, this reduction is compatible with the existence of a locally conformally Kahler structure. As a special consequence, we obtain a compatible contact reduction with respect to any regular value of the contact momentum mapping.
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Department of Mathematics, Gebze Technical University, Gebze, Kocaeli,41400, TurkeyDepartment of Mathematics, Gebze Technical University, Gebze, Kocaeli,41400, Turkey
Esen, Ogul
de León, Manuel
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Instituto de Ciencias Matemáticas, Campus Cantoblanco, Consejo Superior de Investigaciones Científicas and Real Academia Española de las Ciencias, C/ Nicolás Cabrera, 13–15, Madrid,28049, SpainDepartment of Mathematics, Gebze Technical University, Gebze, Kocaeli,41400, Turkey
de León, Manuel
Sardón, Cristina
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Instituto de Ciencias Matemáticas, Campus Cantoblanco, Consejo Superior deInvestigaciones Científicas., C/ Nicolás Cabrera, 13–15, Madrid,28049, SpainDepartment of Mathematics, Gebze Technical University, Gebze, Kocaeli,41400, Turkey
Sardón, Cristina
Zajac, Marcin
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Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, Warsaw,02-093, PolandDepartment of Mathematics, Gebze Technical University, Gebze, Kocaeli,41400, Turkey
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Lab Jean Leray, Dept Math, 2 Rue Houssiniere,BP 92208, F-44322 Nantes, France
Bulgarian Acad Sci, Inst Math & Informat, Sofia, BulgariaLab Jean Leray, Dept Math, 2 Rue Houssiniere,BP 92208, F-44322 Nantes, France
Apostolov, Vestislav
Dloussky, Georges
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Aix Marseille Univ, CNRS, UMR 7373, I2M 39 Rue F Joliot Curie, F-13453 Marseille 13, FranceLab Jean Leray, Dept Math, 2 Rue Houssiniere,BP 92208, F-44322 Nantes, France