{"product_id":"geometric-properties-of-non-compact-cr-manifolds-9788876423482","title":"Geometric Properties of Non-Compact CR Manifolds","description":"\u003cp\u003e • Author(s): Giuseppe Sala\u003cbr\u003e • Publisher: Edizioni Della Normale\u003cbr\u003e • Publisher Imprint: Edizioni Della Normale\u003cbr\u003e • BISAC: Geometry - Differential\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book deals with some questions related to the boundary problem in complex geometry and CR geometry. After a brief introduction summarizing the main results on the extension of CR functions, it is shown in chapters 2 and 3 that, employing the classical Harvey-Lawson theorem and under suitable conditions, the boundary problem for non-compact maximally complex real submanifolds of C\u003csup\u003en\u003c\/sup\u003e, n=3 is solvable.\u003c\/p\u003e \u003cp\u003eIn chapter 4, the regularity of Levi flat hypersurfaces C\u003csup\u003en\u003c\/sup\u003e (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev. \u003c\/p\u003e \u003cp\u003eFinally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of C\u003csup\u003en\u003c\/sup\u003e are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of C\u003csup\u003en\u003c\/sup\u003e is proved.\u003c\/p\u003e","brand":"Edizioni Della Normale","offers":[{"title":"Paperback","offer_id":47606965928087,"sku":"9788876423482","price":2615.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9788876423482.webp?v=1775043966","url":"https:\/\/atlanticbooks.com\/products\/geometric-properties-of-non-compact-cr-manifolds-9788876423482","provider":"Atlantic Books","version":"1.0","type":"link"}