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Ein Produktsatz Für Die Zweite Totalkrümmung
Author(s) -
Kühnel Wolfgang
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-14.2.357
Subject(s) - mathematics , product (mathematics) , curvature , order (exchange) , pure mathematics , combinatorics , geometry , economics , finance
It is a well‐known theorem proved by Willmore and Saleemi ( cf . [5]) that the total absolute curvature of a product‐immersion equals the product of the total absolute curvatures of the factors. In this note we consider the same situation for the second total curvature of order 2 and prove a similar product theorem. In case of the product of two surfaces we get inequalities similar to that of Chern and Lashof ( cf . [2]).
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