On Affine Geometry of Purley Real Submanifolds |
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| Authors: | Barbara Opozda |
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| Institution: | (1) Instytut Matematyki UJ, Ul, Reymonta 4, 30-059 Kraków, Poland. E-mail |
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| Abstract: | We propose to study n-dimensional purely real submanifolds of the standard affine complex space Cn from an affine point of view. Such submanifolds are naturally endowed with a unique transversal bundle. Fundamental theorems are given as well as a theorem of Cartan–Norden type. Examples illustrating particular affine properties of such submanifolds are provided. |
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| Keywords: | submanifolds: purely real totally real connections: flat projectively flat locally symmetric |
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