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Virtual immersions, and a characterization of symmetric spaces

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 نشر من قبل Marco Radeschi <
 تاريخ النشر 2017
  مجال البحث
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We define virtual immersions, as a generalization of isometric immersions in a pseudo-Riemannian vector space. We show that virtual immersions possess a second fundamental form, which is in general not symmetric. We prove that a manifold admits a virtual immersion with skew symmetric second fundamental form, if and only if it is a symmetric space, and in this case the virtual immersion is essentially unique.



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