Vanishing theorems for higher-order Killing and Codazzi

A Killing p-tensor (for an arbitrary natural number p ≥ 2) is a sym­metric p-tensor with vanishing symmetrized covariant derivative. On the other hand, Codazzi p-tensor is a symmetric p-tensor with symmetric co­variant derivative. Let M be a complete and simply connected Riemanni­an manifold of nonp...

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Bibliographic Details
Main Authors: S. Stepanov, I. Tsyganok
Format: Article
Language:English
Published: Immanuel Kant Baltic Federal University 2019-08-01
Series:Дифференциальная геометрия многообразий фигур
Subjects:
Online Access:https://journals.kantiana.ru/geometry/4279/12677/