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                <term xml:lang="en"> Spin geometry</term>
                <term xml:lang="en"> Sasakian manifolds</term>
                <term xml:lang="en">Kähler manifolds</term>
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              <p>We describe and to some extent characterize a new family of Kähler spin manifolds admitting non-trivial imaginary Kählerian Killing spinors.</p>
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