Fattening complex manifolds: Curvature and Kodaira-Spencer maps

Michael Eastwood; Claude Lebrun

doi:10.1016/0393-0440(92)90045-3

Fattening complex manifolds: Curvature and Kodaira-Spencer maps

Michael Eastwood
, Claude Lebrun

Mathematics

University of Adelaide

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We present a calculus whereby the curvature of a geometry arising from any generalized twistor correspondence is related to an obstruction-theoretic classification of the infinitesimal neighborhoods of submanifolds of its twistor space. The crux of the argument involves a relation between Kodaira-Spencer maps and the Penrose transform.

Original language	English
Pages (from-to)	123-146
Number of pages	24
Journal	Journal of Geometry and Physics
Volume	8
Issue number	1-4
DOIs	https://doi.org/10.1016/0393-0440(92)90045-3
State	Published - Mar 1992

Keywords

Kodaira-Spencer maps
Penrose transform
twistors

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10.1016/0393-0440(92)90045-3

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title = "Fattening complex manifolds: Curvature and Kodaira-Spencer maps",

abstract = "We present a calculus whereby the curvature of a geometry arising from any generalized twistor correspondence is related to an obstruction-theoretic classification of the infinitesimal neighborhoods of submanifolds of its twistor space. The crux of the argument involves a relation between Kodaira-Spencer maps and the Penrose transform.",

keywords = "Kodaira-Spencer maps, Penrose transform, twistors",

author = "Michael Eastwood and Claude Lebrun",

year = "1992",

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doi = "10.1016/0393-0440(92)90045-3",

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T1 - Fattening complex manifolds

T2 - Curvature and Kodaira-Spencer maps

AU - Eastwood, Michael

AU - Lebrun, Claude

PY - 1992/3

Y1 - 1992/3

N2 - We present a calculus whereby the curvature of a geometry arising from any generalized twistor correspondence is related to an obstruction-theoretic classification of the infinitesimal neighborhoods of submanifolds of its twistor space. The crux of the argument involves a relation between Kodaira-Spencer maps and the Penrose transform.

AB - We present a calculus whereby the curvature of a geometry arising from any generalized twistor correspondence is related to an obstruction-theoretic classification of the infinitesimal neighborhoods of submanifolds of its twistor space. The crux of the argument involves a relation between Kodaira-Spencer maps and the Penrose transform.

KW - Kodaira-Spencer maps

KW - Penrose transform

KW - twistors

UR - https://www.scopus.com/pages/publications/38249014617

U2 - 10.1016/0393-0440(92)90045-3

DO - 10.1016/0393-0440(92)90045-3

M3 - Article

AN - SCOPUS:38249014617

SN - 0393-0440

VL - 8

SP - 123

EP - 146

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1-4

ER -

Fattening complex manifolds: Curvature and Kodaira-Spencer maps

Abstract

Keywords

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