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            <title xml:lang="en">Lagrangian submanifolds in the homogeneous nearly Kahler S3×S3 with constant sectional curvature</title>
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                <forename type="first">Luc</forename>
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                <term xml:lang="en">Nearly Kähler manifold</term>
                <term xml:lang="en">Lagrangian submanifolds</term>
                <term xml:lang="en">Constant sectional curvature</term>
                <term xml:lang="en">Lagrangian sphere</term>
                <term xml:lang="en">Lagrangian torus</term>
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              <p>In this paper, we investigate Lagrangian submanifolds in the homogeneous nearlyKähler S3 × S3. We introduce and make use of a triplet of angle functions to describe thegeometry of a Lagrangian submanifold in S3 × S3. We construct a new example of a flatLagrangian torus and give a complete classification of all the Lagrangian immersions ofspaces of constant sectional curvature. As a corollary of our main result, we obtain that theradius of a round Lagrangian sphere in the homogeneous nearly Kähler S3 × S3 can only be2/√3 or 4/√3.</p>
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