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Journal of the Australian Mathematical Society
Journal Prestige (SJR): 0.46  Citation Impact (citeScore): 1 Number of Followers: 0  Subscription journalISSN (Print) 1446-7887 - ISSN (Online) 1446-8107 Published by Cambridge University Press  [353 journals]
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- JAZ volume 112 issue 3 Cover and Front matter
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Pages: 1 - 2
PubDate: 2022-05-10
DOI: 10.1017/S1446788721000288
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- JAZ volume 112 issue 3 Cover and Back matter
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Free pre-print version: Loading...
Pages: 1 - 2
PubDate: 2022-05-10
DOI: 10.1017/S144678872100029X
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- REALIZING METRICS OF CURVATURE $\mathbf {\leq -1}$ ON CLOSED SURFACES IN
FUCHSIAN ANTI-DE SITTER MANIFOLDS-
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Authors: LABENI; HICHAM
Pages: 312 - 334
Abstract: We prove that any metric with curvature less than or equal to
(in the sense of A. D. Alexandrov) on a closed surface of genus greater than 
is isometric to the induced intrinsic metric on a space-like convex surface in a Lorentzian manifold of dimension 
with sectional curvature 
. The proof is by approximation, using a result about isometric immersion of smooth metrics by Labourie and Schlenker.
PubDate: 2021-02-19
DOI: 10.1017/S1446788720000506
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- A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC
INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS-
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Authors: MITI; ANTONIO MICHELE, SPERA, MAURO
Pages: 335 - 354
Abstract: In this paper a homotopy co-momentum map (à la Callies, Frégier, Rogers and Zambon) transgressing to the standard hydrodynamical co-momentum map of Arnol’d, Marsden, Weinstein and others is constructed and then generalized to a special class of Riemannian manifolds. Also, a covariant phase space interpretation of the coadjoint orbits associated to the Euler evolution for perfect fluids, and in particular of Brylinski’s manifold of smooth oriented knots, is discussed. As an application of the above homotopy co-momentum map, a reinterpretation of the (Massey) higher-order linking numbers in terms of conserved quantities within the multisymplectic framework is provided and knot-theoretic analogues of first integrals in involution are determined.
PubDate: 2021-02-11
DOI: 10.1017/S1446788720000518
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- GENERATORS OF FINITE FIELDS WITH PRESCRIBED TRACES
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Authors: REIS; LUCAS, RIBAS, SÁVIO
Pages: 355 - 366
Abstract: This paper explores the existence and distribution of primitive elements in finite field extensions with prescribed traces in several intermediate field extensions. Our main result provides an inequality-like condition to ensure the existence of such elements. We then derive concrete existence results for a special class of intermediate extensions.
PubDate: 2021-05-27
DOI: 10.1017/S1446788721000094
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- LIE-TYPE DERIVATIONS OF NEST ALGEBRAS ON BANACH SPACES AND RELATED TOPICS
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Authors: WEI; FENG, ZHANG, YUHAO
Pages: 391 - 430
Abstract: Let
be a Banach space over the complex field 
and 
be the algebra of all bounded linear operators on 
. Let 
be a nontrivial nest on 
, 
be the nest algebra associated with 
, and 
be a linear mapping. Suppose that 
is an 
th commutator defined by n indeterminates 
. It is shown that L satisfies the rule 
for all
PubDate: 2021-09-29
DOI: 10.1017/S1446788721000148
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- INFINITARY COMMUTATIVITY AND ABELIANIZATION IN FUNDAMENTAL GROUPS
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Authors: BRAZAS; JEREMY, GILLESPIE, PATRICK
Pages: 289 - 311
Abstract: Infinite product operations are at the forefront of the study of homotopy groups of Peano continua and other locally path-connected spaces. In this paper, we define what it means for a space X to have infinitely commutative
-operations at a point 
. Using a characterization in terms of the Specker group, we identify several natural situations in which this property arises. Maintaining a topological viewpoint, we define the transfinite abelianization of a fundamental group at any set of points 
in a way that refines and extends previous work on the subject.
PubDate: 2020-11-23
DOI: 10.1017/S1446788720000427
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- SECOND ORDER SUBEXPONENTIALITY AND INFINITE DIVISIBILITY
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Authors: WATANABE; TOSHIRO
Pages: 367 - 390
Abstract: We characterize the second order subexponentiality of an infinitely divisible distribution on the real line under an exponential moment assumption. We investigate the asymptotic behaviour of the difference between the tails of an infinitely divisible distribution and its Lévy measure. Moreover, we study the second order asymptotic behaviour of the tail of the
th convolution power of an infinitely divisible distribution. The density version for a self-decomposable distribution on the real line without an exponential moment assumption is also given. Finally, the regularly varying case for a self-decomposable distribution on the half line is discussed.
PubDate: 2020-06-22
DOI: 10.1017/S1446788720000208
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