On locally conformal Kähler space forms
نویسندگان
چکیده
منابع مشابه
On Locally Conformal Kahler Space Forms
An m-dimensional locally conformal Khler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed 1-form a%(called the Lee form) whose structure (F%,g%) satisfies VF -8g + 8g F + aF, where ? denotes the covariant differentiation with respect to the Hermitian metric gl, 8 -Fl a, Fl F gel and the indices 9, ,l run over the range 1,2, m. For l.c.K-manifolds, I.V...
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A locally conformally Kähler (LCK) manifold M is one which is covered by a Kähler manifold M̃ with the deck transform group acting conformally on M̃ . If M admits a holomorphic flow, acting on M̃ conformally, it is called a Vaisman manifold. Neither the class of LCK manifolds nor that of Vaisman manifolds is stable under small deformations. We define a new class of LCK-manifolds, called LCK manifo...
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متن کاملLocally conformally Kähler manifolds with potential
A locally conformally Kähler (LCK) manifold M is one which is covered by a Kähler manifold M̃ with the deck transform group acting conformally on M̃ . If M admits a holomorphic flow, acting on M̃ conformally, it is called a Vaisman manifold. Neither the class of LCK manifolds nor that of Vaisman manifolds is stable under small deformations. We define a new class of LCK-manifolds, called LCK manifo...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1985
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171285000060