Geometric properties of non-compact CR manifolds (Paperback)
Language: English
Published by Birkhauser Verlag AG, Pisa, 2010
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 29.57
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Paperback. The 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 Cn, n=3 is solvable.In chapter 4, the regularity of Levi flat hypersurfaces Cn (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev. Finally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of Cn are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of Cn is proved. This book deals with some questions related to the boundary problem in complex geometry and CR geometry. It discusses the structure properties of non-compact Levi-flat submanifolds of Cn. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9788876423482
- Title
- Geometric properties of non-compact CR manifolds (Paperback)
- Author
- Giuseppe Sala
- Publisher
- Birkhauser Verlag AG, Pisa
- Publication year
- 2010
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 8876423486
- ISBN 13
- 9788876423482
The 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 Cn, n=3 is solvable.
In chapter 4, the regularity of Levi flat hypersurfaces Cn (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev.
Finally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of Cn are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of Cn is proved.
"Synopsis" may belong to another edition of this title.
Grand Eagle Retail
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AbeBooks seller since October 12, 2005
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