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# The Cartan – Hadamard theorem states that a complete simply connected Riemannian manifold M with nonpositive sectional curvature is diffeomorphic to the Euclidean space R ^ n with n = dim M via the exponential map at any point.
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Some Related Sentences
# and Cartan
# Generalised spaces with structure groups and connections, Cartan connection, holonomy, Weyl tensor
# In the continuum limit, the translational holonomy becomes affine torsion, the distribution of rotating black holes generates spin density, and the torsion and spin density are related exactly as in Einstein – Cartan theory.
# and –
* 1961 – Motown releases what would be its first # 1 hit, " Please Mr. Postman " by The Marvelettes.
# Siegfried ( died 24 October 1184 ), Bishop of Brandenburg from 1173 – 1180, Prince-Archbishop of Bremen, the first ranked prince, from 1180 – 1184
# Alexander, Prince of Scotland ( 21 January 1264 Jedburgh – 28 January 1284 Lindores Abbey ); buried in Dunfermline Abbey
# 1. around 1200: Gertrude of Merania ( 1185 – 8 September 1213 ), a daughter of Berthold IV, Duke of Merania and his wife, Agnes of Wettin
# Bourgogne of Lusignan ( 1176 – 1180 or c. 1178 – c. 1210 ), married as his third wife Raymond VI of Toulouse 1193, repudiated and divorced 1194 or 1196 without issue, married Gauthier I de Montfaucon aka Walter of Montbéliard ( killed in action at the Battle of Satalia, June 20, 1212 ) 1197 or bef.
# Héloise / Helvis of Lusignan ( c. 1190 – 1216 – 1219, 1216 / 1219 or c. 1217 ), married firstly c. 1205 Eudes de Dampierre sur Salon, Lord of Chargey-le-Grey, div.
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