Self-similar Hessian and conformally Kähler manifolds
نویسندگان
چکیده
A self-similar Hessian (special Kähler) manifold is a $$(M,\nabla ,g)$$ endowed with an affine (holomorphic) homothetic vector field $$\xi $$ . Consider action of group G on ,g,\xi )$$ by isometries preserving such that acts the level set $$\{g(\xi ,\xi )=1\}$$ simply transitively. Then, we construct homogeneous conformally Kähler (hyper structure TM $$(T^*M)$$
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2022
ISSN: ['1572-9060', '0232-704X']
DOI: https://doi.org/10.1007/s10455-022-09861-1