2005Tokyo Journal of MathematicsOpen access

Another Natural Lift of a Kähler Submanifold of a Quaternionic Kähler Manifold to the Twistor Space

Norio Ejiri, Kazumi Tsukada

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Abstract

We study a Kähler submanifold $M$ of a quaternionic Kähler manifold $\tilde {M}$. For such submanifold $M$ we construct a totally real and minimal submanifold ${\cal Z}$ in the twistor space $\tilde{\cal Z}$ of $\tilde {M}$.

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We study a Kähler submanifold $M$ of a quaternionic Kähler manifold $\tilde {M}$. For such submanifold $M$ we construct a totally real and minimal submanifold ${\cal Z}$ in the twistor space $\tilde{\cal Z}$ of $\tilde {M}$.

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Available abstract

We study a Kähler submanifold $M$ of a quaternionic Kähler manifold $\tilde {M}$. For such submanifold $M$ we construct a totally real and minimal submanifold ${\cal Z}$ in the twistor space $\tilde{\cal Z}$ of $\tilde {M}$.

Key concepts: Submanifold, Twistor space, Mathematics, Kähler manifold, Twistor theory, Manifold (fluid mechanics), Lift (data mining), Pure mathematics

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