On nonisometric isospectral connected fractal domains.

Título inglés	On nonisometric isospectral connected fractal domains.
Título español	Dominios fractales conexos isoespectrales no isométricos.
Autor/es	Sleeman, Brian D. ; Hua, Chen
Organización	Sch. Math. Univ. Leeds, Leeds, Reino Unido;Sch. Math. Wuhan Univ., Wuhan, China
Revista	0213-2230
Publicación	2000, 16 (2): 351-361, 25 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	A fundamental question raised by M. Kac in 1966 is: Must two isospectral planar domains necessarily be isometric? Following a long history of investigation C. Gordon, D. L. Webb and S. Wolpert in 1992 finally proved that the answer is no. By using the idea of transposition maps one can construct a wide class of planar domains with piecewise continuous boundaries which are isospectral but non-isometric. In this note we study the Kac question in relation to domains with fractal boundaries and by following a technique of paper folding maps by J. Chapman 1993 we construct pairs of isospectral but non-isometric connected planar domains with fractal boundaries having the same Minkowski dimension.
Clasificación UNESCO	120411
Palabras clave español	Variedad riemanniana ; Isometría ; Dominios ; Fractales ; Variedades compactas ; Isoespectralidad
Código MathReviews	MR1809344
Código Z-Math	Zbl 0978.53068
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