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Item Details
| Title:
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THE METRIC INDUCED BY THE ROBIN FUNCTION
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| By: |
Norman Levenberg, Hiroshi Yamaguchi |
| Format: |
Paperback |
| List price:
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£29.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821825208 |
| ISBN 13: |
9780821825204 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1991 |
| Series: |
Memoirs of the American Mathematical Society No. 448 |
| Pages: |
156 |
| Synopsis: |
This book reveals an interesting connection between classical (Newtonian) potential theory on R2n and the theory of several complex variables on pseudoconvex domains in Cn. The authors bring together many results concerning the Robin function *L associated to the R2n Laplace operator on a pseudoconvex domain in Cn. Using the technique of variation of domains, the second author proved that, under mild regularity assumptions on the domain, -*L and log (-*L) are strictly plurisubharmonic. In addition to providing a new proof of this result, the authors discuss the asymptotics of the Robin function, the relationship between the Laplacian of the Robin function and the Bergman kernel function, and the completeness of the Kahler metric associated to log(-*L). The book is essentially self-contained and should be accessible to those with knowledge of the basic concepts of several complex variables, classical potential theory, and elementary differential geometry. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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