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topological invariants and curvature
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نویسنده
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arab gholam hossein ,toomanian megerdich
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منبع
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journal of mathematical extension - 2022 - دوره : 16 - شماره : 12 - صفحه:1 -9
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چکیده
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It is widely known that the fundamental group of a lie group, and in general a symmetric space, is abelian. in the current paper it is demonstrated that any finitely generated abelian group is the fundamental group of a compact lie group. in addition, it is proved that for any arbitrary group there is a differentiable manifold of dimension greater than 3 whose fundamental group is that arbitrary group.
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کلیدواژه
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lie groups ,fundamental group ,finitely generated abelian groups ,homotopy groups ,sectional curvature.
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آدرس
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islamic azad university, karaj branch, faculty of science, department of mathematics, iran, islamic azad university, karaj branch, faculty of science, department of mathematics, iran
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پست الکترونیکی
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toomanian@tabrizu.ac.ir
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Authors
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