Remarks on the Nijenhuis tensor and almost complex connections

Josef Janyška

Archivum Mathematicum (1990)

  • Volume: 026, Issue: 4, page 229-239
  • ISSN: 0044-8753

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Janyška, Josef. "Remarks on the Nijenhuis tensor and almost complex connections." Archivum Mathematicum 026.4 (1990): 229-239. <http://eudml.org/doc/18306>.

@article{Janyška1990,
author = {Janyška, Josef},
journal = {Archivum Mathematicum},
keywords = {natural differential operator; almost complex structure; Nijenhuis tensor; affine connections; almost complex connections},
language = {eng},
number = {4},
pages = {229-239},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Remarks on the Nijenhuis tensor and almost complex connections},
url = {http://eudml.org/doc/18306},
volume = {026},
year = {1990},
}

TY - JOUR
AU - Janyška, Josef
TI - Remarks on the Nijenhuis tensor and almost complex connections
JO - Archivum Mathematicum
PY - 1990
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 026
IS - 4
SP - 229
EP - 239
LA - eng
KW - natural differential operator; almost complex structure; Nijenhuis tensor; affine connections; almost complex connections
UR - http://eudml.org/doc/18306
ER -

References

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  1. J. Janyška, Geometrical properties of prolongation functors, Čas. pěst. mat., 110 (1985), 77-86. (1985) MR0791280
  2. S. Kobayashi K. Nomizu, Foundations of Differential Geometry, II, Interscience, New York, 1969. (1969) 
  3. D. Krupka, Elementary theory of differential invariants, Arch. Math. (Brno) 4 (1978), 207-214. (1978) Zbl0428.58002MR0512763
  4. D. Krupka, Local invariants of a linear connection, Coll. Math. Soc. János Bolyai, 31. Differential Geometry, Budapest (Hungary), 1979, North Holland 1982, 349-369. (1979) MR0706930
  5. D. Krupka J. Janyška, Lectures on Differential Invariants, Folia Fac. Sci. Nat. Univ. Purkyně an ae. Brunensis, Matematica 1, Brno, 1990 MR1108622
  6. D. Krupka V. Mikolášová, On the uniqueness of some differential invariants: d, [,], ∇ , Czechoslovak Math. J. 34 (109) (1984), 588-597. (1984) MR0764440
  7. A. Nijenhuis, Natural bundles and their general properties, Differential Geometry, in honour of K. Yano, Kinokuniya, Tokyo, 1972, 317-334. (1972) Zbl0246.53018MR0380862
  8. Chuu Lian Terng, Natural vector bundles and natural differential operators, Amer. J. Math. 100 (1978), 775-828. (1978) MR0509074
  9. K. Yano, Differential Geometry on Complex and Almost Complex Spaces, Pergamon Press, New York, 1964. (1964) MR0187181

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