Roland Weitzenböck
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Roland Weitzenböck (26 May 1885 – 24 July 1955) was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection. He was appointed professor of mathematics at the University of Amsterdam in 1923 at the initiative of Brouwer, after
Hermann Weyl Hermann Klaus Hugo Weyl (; ; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, ...
had turned down Brouwer’s offer.


Biography

Roland Weitzenböck was born in
Kremsmünster Kremsmünster is a town in Kirchdorf an der Krems District, in the Austrian state of Upper Austria. Settled in 777, it is home to the Kremsmünster Abbey. The Abbey was founded 777 by Duke Tassilo III of Bavaria and is one of the oldest abbeys ...
,
Austria-Hungary Austria-Hungary, also referred to as the Austro-Hungarian Empire, the Dual Monarchy or the Habsburg Monarchy, was a multi-national constitutional monarchy in Central Europe#Before World War I, Central Europe between 1867 and 1918. A military ...
. He studied from 1902 to 1904 at the
Imperial and Royal Technical Military Academy The Imperial and Royal Technical Military Academy (German: ''k.u.k. Technische Militärakademie'') was a military training facility founded in 1717 for certain officer groups of the Habsburg monarchy. The location of the academy changed several ...
(now HTL Vienna) and was a captain in the Austrian army. He then studied at the
University of Vienna The University of Vienna (, ) is a public university, public research university in Vienna, Austria. Founded by Rudolf IV, Duke of Austria, Duke Rudolph IV in 1365, it is the oldest university in the German-speaking world and among the largest ...
, where he graduated in 1910 with the dissertation ''Zum System von 3 Strahlenkomplexen im 4-dimensionalen Raum'' (The system of 3-rays complexes in 4-dimensional space). After further studies at
Bonn Bonn () is a federal city in the German state of North Rhine-Westphalia, located on the banks of the Rhine. With a population exceeding 300,000, it lies about south-southeast of Cologne, in the southernmost part of the Rhine-Ruhr region. This ...
and
Göttingen Göttingen (, ; ; ) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. According to the 2022 German census, t ...
, he became professor at the University of
Graz Graz () is the capital of the Austrian Federal states of Austria, federal state of Styria and the List of cities and towns in Austria, second-largest city in Austria, after Vienna. On 1 January 2025, Graz had a population of 306,068 (343,461 inc ...
in 1912. After Army service in
World War I World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting to ...
, he became Professor of Mathematics at the Karl-Ferdinand University in Prague in 1918. In 1923 Weitzenböck took a position of professor of mathematics at the
University of Amsterdam The University of Amsterdam (abbreviated as UvA, ) is a public university, public research university located in Amsterdam, Netherlands. Established in 1632 by municipal authorities, it is the fourth-oldest academic institution in the Netherlan ...
, where he stayed until 1945. He settled in
Blaricum Blaricum () is a municipality and village in the province of North Holland, the Netherlands. It is part of the region of Gooiland and part of the Amsterdam Metropolitan Area, Amsterdam Metropolitan Area (Metropoolregio Amsterdam). It is known for ...
, where he became a fully accepted member of the community. He was a man of few words, without observable political views. Appearances are often, however, deceptive, and in this case the solid imperturbable exterior hid a considerable amount of frustration resulting from the disastrous course of the First World War. As so many German and Austrian ex-service men, Weitzenböck became a hard-core
revanchist Revanchism (, from ''revanche'', "revenge") is the political manifestation of the will to reverse the territorial losses which are incurred by a country, frequently after a war or after a social movement. As a term, ''revanchism'' originated i ...
, and an implacable enemy of France. But whereas Brouwer actively campaigned for the rehabilitation of German scientists, Weitzenböck refrained from political activity. However, after the ‘Anschluss’ of Austria in 1938, he started to vent his approval of Hitler’s policies in private conversations. Weitzenböck was elected member of the
Royal Netherlands Academy of Arts and Sciences The Royal Netherlands Academy of Arts and Sciences (, KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam. In addition to various advisory a ...
(KNAW) in May 1924, but suspended in May 1945 because of his attitude during the war. Weitzenböck had been a member of the
National Socialist Movement in the Netherlands The National Socialist Movement in the Netherlands (, ; NSB) was a Dutch fascist and later Nazi political organisation that eventually became a political party. As a parliamentary party participating in legislative elections, the NSB had some suc ...
. In 1923 Weitzenböck published a modern
monograph A monograph is generally a long-form work on one (usually scholarly) subject, or one aspect of a subject, typically created by a single author or artist (or, sometimes, by two or more authors). Traditionally it is in written form and published a ...
on the theory of invariants on
manifold In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or ''n-manifold'' for short, is a topological space with the property that each point has a N ...
s that included
tensor calculus In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other ...
. In the
Preface __NOTOC__ A preface () or proem () is an introduction to a book or other literature, literary work written by the work's author. An introductory essay written by a different person is a ''foreword'' and precedes an author's preface. The preface o ...
of this monograph one can read an offensive
acrostic An acrostic is a poem or other word composition in which the ''first'' letter (or syllable, or word) of each new line (or paragraph, or other recurring feature in the text) spells out a word, message or the alphabet. The term comes from the Fre ...
. One finds that the first letter of the first word in the first 21 sentences spell out: : NIEDER MIT DEN FRANZOSEN (down with the French). He also published papers on torsion. In fact, in his paper "Differential Invariants in Einstein’s Theory of Tele-parallelism" Weitzenböck had given a supposedly complete
bibliography Bibliography (from and ), as a discipline, is traditionally the academic study of books as physical, cultural objects; in this sense, it is also known as bibliology (from ). English author and bibliographer John Carter describes ''bibliograph ...
of papers on torsion without mentioning
Élie Cartan Élie Joseph Cartan (; 9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory of Lie groups, differential systems (coordinate-free geometric formulation of PDEs), and differential geometry. He ...
. Weitzenböck died in
Zelhem Zelhem is a town in the Netherlands, Dutch province of Gelderland. It has approximately 11,000 inhabitants. Zelhem is located in the municipality of Bronckhorst, about 7 km northeast of Doetinchem. Zelhem was a separate municipality until 20 ...
,
Netherlands , Terminology of the Low Countries, informally Holland, is a country in Northwestern Europe, with Caribbean Netherlands, overseas territories in the Caribbean. It is the largest of the four constituent countries of the Kingdom of the Nether ...
in 1955. His doctoral students include G. F. C. Griss,
Daniel Rutherford Daniel Rutherford (3 November 1749 – 15 November 1819) was a Scottish physician, chemist and botanist who is known for the isolation of nitrogen in 1772. Life Rutherford was born on 3 November 1749, the son of Anne Mackay and Professor J ...
and
Max Euwe Machgielis "Max" Euwe (; May 20, 1901 â€“ November 26, 1981) was a Dutch chess player, mathematician, author, and chess administrator. He was the fifth player to become World Chess Championship, World Chess Champion, a title he held from 1935 ...
.


Publications

* * * *''Neuere Arbeiten zur algebraischen Invariantentheorie. Differentialinvarianten''. Enzyklopädie der mathematischen Wissenschaften, III, Bd.3, Teubner 1921 *''Differentialinvarianten in der Einsteinschen Theorie des Fernparallelismus'', Sitzungsberichte Preußische Akademie der Wissenschaften, Phys.-Math.Klasse, 1928, S.466


See also

* []


Notes


External links

* {{DEFAULTSORT:Weitzenbock, Roland 1885 births 1955 deaths 20th-century Austrian mathematicians Differential geometers Academic staff of the University of Amsterdam Academic staff of the University of Graz University of Vienna alumni People from Kirchdorf an der Krems District Members of the Royal Netherlands Academy of Arts and Sciences