Robin Functions for Complex Manifolds and Applications

ISBN-10: 0821849654
ISBN-13: 9780821849651
Category: Complex manifolds
Pages: 111
Language: English
Published: 2011
Publisher: American Mathematical Soc.
Authors: Kang-Tae Kim, Norman Levenberg, Hiroshi Yamaguchi

Description

In a previous Memoirs (Vol. 92, No. 448), Levenberg and Yamaguchi analyzed the second variation of the Robin function $-\lambda(t)$ associated to a smooth variation of domains in $\mathbb{C}^n$ for $n\geq 2$. In the current work, the authors study a generalization of this second variation formula to complex manifolds $M$ equipped with a Hermitian metric $ds^2$ and a smooth, nonnegative function $c$.

Get the book

Similar books

Positive Definiteness of Functions with Applications to Operator Norm Inequalities
By Hideki Kosaki
... Robin functions for complex manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part I, 2011 Kenneth R. Davidson and Elias G. Katsoulis, Operator algebras for multivariable ...
Geometry and Analysis on Manifolds: In Memory of Professor Shoshichi Kobayashi
By Alan Weinstein, Yoshiaki Maeda, Junjiro Noguchi
... complex curves in complex surfaces, see [14].) Since every leaf of F accumulates to w = 0, it is easy to see that δ ... Robin functions for complex manifolds and applications, Mem. Amer. Math. Soc. 209, 2011. [5] Kodaira, K.: Complex ...
L2 Approaches in Several Complex Variables: Development of Oka–Cartan Theory by L2 Estimates for the d-bar Operator
By Takeo Ohsawa
... application to Nakano's vanishing theorem for weakly 1-complete manifolds. Mem. Fac. Sci. Kyushu Univ. 27, 221–240 (1973) Kazama, H.: N@-cohomology of (H,C)-groups. Publ. Res. Inst. Math. Sci. 20, 297–317 (1984) Kazama, H.: On ...
Iterated Function Systems, Moments, and Transformations of Infinite Matrices
By Palle E. T. Jørgensen, Keri A. Kornelson, Karen L. Shuman
MR0051437 (14,479c) Lawrence Baggett, Functional analysis: A primer, Pure and Applied Mathematics, vol. 153, Marcel Dekker, Inc., New York, NY, 1992. MR1151615 (93a:46001) Christian Berg, Jens Peter Reus Christensen, and Paul Ressel, ...
Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I
By Mark P. Walsh
... Robin functions for complex manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and generalised Morse functions, part I, 2011 Kenneth R. Davidson and Elias G. Katsoulis, Operator algebras for multivariable ...
$Q$-Valued Functions Revisited
By Camillo De Lellis, Emanuele Nunzio Spadaro
The aim of this paper is to provide a simple, complete and self-contained reference for Almgren's theory of Dir-minimizing Q-valued functions, so to make it an easy step for the understanding of the remaining parts of the Big regularity ...
Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence
By Leonid Positselski
... functions with applications to operator norm inequalities, 2011 Leonid Positselski, Two kinds of derived categories ... Robin functions for complex manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and ...
On Systems of Equations Over Free Partially Commutative Groups
By Montserrat Casals-Ruiz, Ilya Kazachkov
... functions with applications to operator norm inequalities, 2011 Leonid Positselski, Two kinds of derived categories ... Robin functions for complex manifolds and applications, 2011 Mark Walsh, Metrics of positive scalar curvature and ...
Multicurves and Equivariant Cohomology
By Neil P. Strickland
... 2011 Palle E. T. Jorgensen, Keri A. Kornelson, and Karen L. Shuman, Iterated function systems, moments, and transformations of infinite matrices, 2011 Man Chun Leung, Supported blow-up and prescribed scalar curvature on Sn, ...
The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$
By Toshiyuki Kobayashi, Gen Mano
... 2011 Palle E. T. Jorgensen, Keri A. Kornelson, and Karen L. Shuman, Iterated function systems, moments, and transformations of infinite matrices, 2011 Man Chun Leung, Supported blow-up and prescribed scalar curvature on Sn, ...