Weak geometric structures on submanifolds of affine spaces

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概要

• 論文の詳細を見る

• A few affine invariant structures depending only on the second fundamental form relative to arbitrary transversal bundles on submanifolds of the standard affine spaces are introduced. A notion of ``local strong convexity'' is proposed for arbitrary codimensional submanifolds. In the case of $n$-dimensional submanifolds of $2n$-dimensional real affine spaces, complex structures on the ambient spaces are used as a tool for studying real affine invariants.

• 東北大学の論文

著者

• Opozda Barbara

  Instytut Matematyli Uj

• Opozda Barbara

  Instytut Matematyki Uj

関連論文

• On affine hypersurfaces with parallel nullity
• On normal and conormal maps for affine hypersurfaces
• Weak geometric structures on submanifolds of affine spaces
• SURFACES WHOSE AFFINE NORMAL IMAGES ARE CURVES

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