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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity.
Unreconciled
NATIONAL BESTSELLER SHORTLISTED for the 2022 Rakuten Kobo Emerging Writer Prize A GLOBE AND MAIL BEST BOOK OF THE YEAR "Unreconciled is one hell of a good book. Jesse Wente’s narrative moves effortlessly from the personal to the historical to the contemporary. Very powerful, and a joy to read." —Thomas King, author of The Inconvenient Indian and Sufferance A prominent Indigenous voice uncovers the lies and myths that affect relations between white and Indigenous peoples and the power of narrative to emphasize truth over comfort. Part memoir and part manifesto, Unreconciled is a stirring call to arms to put truth over the flawed concept of reconciliation, and to build a new, respectful re...
Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces
This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on curvature estimates for such surfaces, and, using results from potential theory and harmonic analysis, it addresses geometric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total torsion.
A Chronicle of London from 1089 to 1483
DigiCat Publishing presents to you this special edition of "A Chronicle of London from 1089 to 1483" (Written in the Fifteenth Century, and for the First Time Printed from MSS. in the British Museum) by Anonymous. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.
