Parallel submanifolds in a quaternion projective space
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Publication:1063883
zbMath0574.53036MaRDI QIDQ1063883
Publication date: 1985
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
parallel second fundamental formquaternion projective spacequaternion Kaehler manifoldtotally complex immersions
Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Related Items (20)
Isometric immersions from a Kähler manifold into the quaternionic projective space ⋮ Totally complex submanifolds in \(\mathbb{H} P^ m(1)\) ⋮ Parallel Kähler submanifolds and 𝑅-spaces ⋮ The extrinsic holonomy Lie algebra of a parallel submanifold ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ Minimal surfaces in symmetric spaces with parallel second fundamental form ⋮ Minimal surfaces in a complex hyperquadric \(Q _{2}\) ⋮ Totally complex submanifolds of a complex Grassmann manifold of 2-planes ⋮ (Para-)Hermitian and (para-)Kähler submanifolds of a para-quaternionic Kähler manifold ⋮ Transversally Complex Submanifolds of a Quaternion Projective Space ⋮ Semisymmetric submanifolds ⋮ Ric-semisymmetric submanifolds ⋮ Totally real flat minimal surfaces in quaternionic projective spaces ⋮ The Gauss maps of transversally complex submanifolds of a quaternion projective space ⋮ On conformal minimal immersions of \(S^2\) in \(HP^n\) with parallel second fundamental form ⋮ Parallel Kähler submanifolds of quaternionic Kähler symmetric spaces ⋮ Submanifolds of quaternion projective space with bounded second fundamental form ⋮ Automorphisms and a reduction theorem in a Sasakian space form \(E^{2m+1}(-3)\) ⋮ Another natural lift of a Kähler submanifold of a quaternionic Kähler manifold to the twistor space ⋮ Symmetric submanifolds in symmetric spaces.
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