{"product_id":"9788876423482","title":"Geometric properties of non-compact CR manifolds","description":"\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\u003cp\u003e\u003c\/p\u003e","brand":"Scuola Normale Superiore","offers":[{"title":"Default Title","offer_id":47053600719088,"sku":"9788876423482","price":24.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9788876423482_p0.jpg?v=1763777815","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9788876423482","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}