Vector fields and infinitesimal transformations on riemannian manifolds with boundary

Chuan-Chih. Hsiung

Bulletin de la Société Mathématique de France (1964)

  • Volume: 92, page 411-434
  • ISSN: 0037-9484

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Hsiung, Chuan-Chih.. "Vector fields and infinitesimal transformations on riemannian manifolds with boundary." Bulletin de la Société Mathématique de France 92 (1964): 411-434. <http://eudml.org/doc/87057>.

@article{Hsiung1964,
author = {Hsiung, Chuan-Chih.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Riemannian manifolds},
language = {eng},
pages = {411-434},
publisher = {Société mathématique de France},
title = {Vector fields and infinitesimal transformations on riemannian manifolds with boundary},
url = {http://eudml.org/doc/87057},
volume = {92},
year = {1964},
}

TY - JOUR
AU - Hsiung, Chuan-Chih.
TI - Vector fields and infinitesimal transformations on riemannian manifolds with boundary
JO - Bulletin de la Société Mathématique de France
PY - 1964
PB - Société mathématique de France
VL - 92
SP - 411
EP - 434
LA - eng
KW - Riemannian manifolds
UR - http://eudml.org/doc/87057
ER -

References

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  1. [1] CARTAN (H.). — Notions d'algèbre différentielle ; application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de Topologie [1950, Bruxelles], p. 15-27. — Liège, G. Thone ; Paris, Masson, 1951. Zbl0045.30601
  2. [2] COUTY (R.). — Transformations infinitésimales projectives, C. R. Acad. Sc., Paris, t. 247, 1958, p. 804-806. Zbl0082.15302MR22 #1862
  3. [3] EISENHART (L. P.). — Riemannian geometry. — Princeton, Princeton University Press, 1949. Zbl0041.29403MR11,687g
  4. [4] HSIUNG (C.-C.). — Curvature and Betti numbers of compact Riemannian manifolds with boundary, Rend. Sem. Mat., Univ. e Politec. Torino, t. 17, 1957-1958, p. 95-131. Zbl0196.54303MR21 #3011
  5. [5] HSIUNG (C.-C.). — A note of correction, Rend. Sem. Mat., Univ. e Politec. Torino, t. 21, 1961-1962, p. 127-129. Zbl0196.54303
  6. [6] HSIUNG (C.-C.). — Curvature and homology of Riemannian manifolds with boundary, Math. Z., t. 82, 1963, p. 67-81. Zbl0119.17202MR27 #2943
  7. [7] LICHNEROWICZ (A.). — Transformations infinitésimales conformes de certaines variétés riemanniennes compactes, C. R. Acad. Sc. Paris, t. 241, 1955, p. 726-729. Zbl0068.35804MR17,660a
  8. [8] LICHNEROWICZ (A.). — Géométrie des groupes de transformations. — Paris, Dunod, 1958 (Travaux et Recherches mathématiques, 3). Zbl0096.16001MR23 #A1329
  9. [9] de RHAM (G.) and KODAIRA (K.). — Harmonic integrals. — Princeton, Institute for Advanced Study, 1950 (Mimeographed notes). MR12,279b
  10. [10] SATO (L.). — On conformal Killing tensor fields, Bull. Yamagata University (Nat. Sc.), t. 3, 1956, p. 175-180. 
  11. [11] YANO (K.) and NAGANO (T.). — Some theorems on projective and conformal transformations, Koninkl. Nederl. Akad. Wetensch., Proc., Serie A, t. 60 (Indag. Math., t. 19), 1957, p. 451-458. Zbl0079.15603MR22 #1861
  12. [12] YANO (K.). — The theory of Lie derivatives and its applications. — Amsterdam, North Holland publishing Company, 1957 (Bibliotheca mathematica, 3). Zbl0077.15802MR19,576f
  13. [13] YANO (K.). — Some integral formulas and their applications, Michigan Math. J., t. 5, 1958, p. 63-73. Zbl0084.37502MR22 #1860
  14. [14] YANO (K.). — Harmonic and Killing vector fields in compact orientable Riemannian spaces with boundary, Annals of Math., t. 69, 1959, p. 588-596. Zbl0087.36904MR21 #3887

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