{"product_id":"on-the-geometry-of-semi-symmetric-hypersurfaces-in-euclidean-space-von-velichka-milousheva","title":"On the Geometry of Semi-Symmetric Hypersurfaces in Euclidean Space","description":"\u003cp\u003eSemi-symmetric spaces are Riemannian manifolds whose curvature tensor at a given point is the same as the curvature tensor of a symmetric space. The semi-symmetric spaces have been studied first by E. Cartan in connection with his research on locally symmetric spaces. In 1982, Z. Szabo gave a local classification of Riemannian semi-symmetric spaces dividing them into three classes: ¿trivial¿ class, consisting of all locally symmetric spaces and all two-dimensional Riemannian manifolds; ¿exceptional¿ class, consisting of all elliptic, hyperbolic, Euclidean and Kählerian cones; ¿typical¿ class, consisting of all Riemannian manifolds foliated by Euclidean leaves of codimension two. The ¿trivial¿ semi-symmetric spaces are well known and the ¿exceptional¿ ones are described and constructed explicitly by Z. Szabo.In this book, we study semi-symmetric hypersurfaces in the Euclidean n-space belonging to the ¿typical¿ class, considering them with respect to their second fundamental tensor. The main tool in our investigation is the system of Codazzi equations, which gives us a new approach to the classification, geometric description and construction of foliated semi-symmetric hypersurfaces.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786203042191\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9786203042191","offer_id":39465836970077,"sku":"9786203042191","price":61.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5b2ca94b-e5a1-4a9b-b107-8ed804cfbf91.jpg?v=1757483839","url":"https:\/\/shop.autorenwelt.de\/products\/on-the-geometry-of-semi-symmetric-hypersurfaces-in-euclidean-space-von-velichka-milousheva","provider":"Autorenwelt Shop","version":"1.0","type":"link"}