Types of complete Infinitely sheeted Planes
2004 ◽
Vol 176
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pp. 181-195
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Keyword(s):
AbstractWe will answer negatively to the question whether the completeness of infinitely sheeted covering surfaces of the extended complex plane have anything to do with their types being parabolic or hyperbolic. This will be accomplished by giving a one parameter family {W[α]: α ∈ A} of complete infinitely sheeted planes W[α] depending on the parameter set A of sequences α = (an)n>1 of real numbers 0 < an ≤ 1/2 (n ≥ 1) such that W[α] is parabolic for ‘small’ α’s and hyperbolic for ‘large’ α’s.
1969 ◽
Vol 35
◽
pp. 151-157
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Keyword(s):
1979 ◽
Vol 20
(1)
◽
pp. 69-80
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1984 ◽
Vol 7
(1)
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pp. 187-195
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Keyword(s):
2020 ◽
Vol 102
(1)
◽
pp. 109-117
1969 ◽
Vol 21
◽
pp. 1388-1403
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1999 ◽
Vol 19
(6)
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pp. 1379-1388