On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings

Ławrynowicz, Julian

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On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings

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Julian Ławrynowicz

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Rozprawy Matematyczne tom/nr w serii: 166 wydano: 1980

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CONTENTS

Introduction......................................................................................................................................... 5
1. An outline of results.................................................................................................................. 5
2. A fibre bundle model of elementary particles as a motivation
for the capacities in question..................................................................................................... 9
3. An example................................................................................................................................ 10
4. A potential-theoretical motivation for the capacities in question..................................... 12
5. Capacities and plurisubharmonic functions....................................................................... 14
6. A homology approach and the general definition of capacity........................................... 16
7. Finiteness and relations between capacities dependent on the chosen covering
and independent of it.................................................................................................................... 19
8. Behaviour under holomorphic and biholomorphic mappings......................................... 22
9. Some lemmas on Riemann surfaces................................................................................. 25
10. Comparison of the "complex" and "real" capacities in the case
of Riemann surfaces................................................................................................................... 30
11. Dependence on the universal covering manifold............................................................ 33
12. Relation to elliptic and hyperbolic quasiconformal mappings...................................... 36
13. Mathematical and physical conclusions............................................................................ 39

References......................................................................................................................................... 41

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 166

Liczba stron

44

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Opis fizyczny

Dissertationes Mathematicae, Tom CLXVI

Daty

wydano

1980

Twórcy

autor

Julian Ławrynowicz

Bibliografia

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83-01-01102-5

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On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings

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Seria

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