Degree theory of immersed hypersurfaces /

Degree theory of immersed hypersurfaces /

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Bibliographic Details
Author / Creator:	Rosenberg, H. (Harold), 1941- author.
Imprint:	Providence, RI : American Mathematical Society, 2020. ©2020
Description:	v, 62 pages : illustrations ; 26 cm.
Language:	English
Series:	Memoirs of the American Mathematical Society, 0065-9266 ; number 1290 Memoirs of the American Mathematical Society ; no. 1290.
Subject:	Riemannian manifolds. Topological degree. Hypersurfaces. Curvature. Curvature. Hypersurfaces. Riemannian manifolds. Topological degree.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12617457

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Other authors / contributors:	Smith, Graham (Graham Andrew Craig), author.
ISBN:	9781470441852 1470441853 9781470461492
Notes:	"May 2020, volume 265, number 1290 (seventh of 7 numbers)." Includes bibliographical references (pages 61-62).
Summary:	"We develop a degree theory for compact immersed hypersurfaces of prescribed K-curvature immersed in a compact, orientable Riemannian manifold, where K is any elliptic curvature function. We apply this theory to count the (algebraic) number of immersed hyperspheres in various cases: where K is mean curvature, extrinsic curvature and special Lagrangian curvature, and we show that in all these cases, this number is equal to -χ(M), where χ(M) is the Euler characteristic of the ambient manifold M"--

Mansueto

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Call Number:	QA1.A528 no.1290
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