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Generalized (κ, µ)-space forms and d-homothetic deformations

Abstract

We study the Da-homothetic deformations of generalized (κ, µ)- space forms. We prove that the deformed spaces are again generalized (κ, µ)-space forms in dimension 3, but not in general, although a slight change in their definition would make them so. We give infinitely many examples of generalized (κ, µ)-space forms of dimension 3

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