Riemannian geometry. Klingenberg, W. Volume 1 of de Gruyter Studies in Mathematics, Walter de Gruyter & Co., Berlin, 1982.
bibtex   
@book {MR666697,
    AUTHOR = {Klingenberg, Wilhelm},
     TITLE = {Riemannian geometry},
    SERIES = {de Gruyter Studies in Mathematics},
    VOLUME = {1},
 PUBLISHER = {Walter de Gruyter \& Co.},
   ADDRESS = {Berlin},
      YEAR = {1982},
     PAGES = {x+396},
      ISBN = {3-11-008673-5},
   MRCLASS = {53-02 (53C22 58-02 58E10 58F17)},
  MRNUMBER = {666697 (84j:53001)},
MRREVIEWER = {Alan West},
  BOEKCODE = {53C21},
}

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