On a Bianchi-type identity for the almost hermitian manifolds

Giovanni Battista Rizza

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1988)

  • Volume: 82, Issue: 1, page 51-59
  • ISSN: 0392-7881

Abstract

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Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.

How to cite

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Rizza, Giovanni Battista. "On a Bianchi-type identity for the almost hermitian manifolds." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 82.1 (1988): 51-59. <http://eudml.org/doc/289271>.

@article{Rizza1988,
abstract = {Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.},
author = {Rizza, Giovanni Battista},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Almost hermitian manifolds; Sectional and bisectional curvatures; Schur-type theorems},
language = {eng},
month = {3},
number = {1},
pages = {51-59},
publisher = {Accademia Nazionale dei Lincei},
title = {On a Bianchi-type identity for the almost hermitian manifolds},
url = {http://eudml.org/doc/289271},
volume = {82},
year = {1988},
}

TY - JOUR
AU - Rizza, Giovanni Battista
TI - On a Bianchi-type identity for the almost hermitian manifolds
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1988/3//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 1
SP - 51
EP - 59
AB - Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.
LA - eng
KW - Almost hermitian manifolds; Sectional and bisectional curvatures; Schur-type theorems
UR - http://eudml.org/doc/289271
ER -

References

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  1. KOBAYASHI, S. and NOMIZU, K. (1963), (1969) - Foundations of differential geometry. Vol. 1,2, Interscience Publ.New York. Zbl0175.48504MR152974
  2. RIZZA, G.B. (1959) - Sulla curvatura delle faccette di una varietà kähleriana, «Ann. Mat. Pura Appl.», 67, 81-90. Zbl0090.38504MR123277
  3. RIZZA, G.B. (1974) - Varietà parakähleriane, «Ann. Mat. Pura Appl.», 98, 47-61. Zbl0279.53051MR341322
  4. RIZZA, G.B. (1985) - Sur la courbure bisectionnelle des variétés, Actas do VII Congresso do Grupo de Matematicos de Espressao Latina, Coimbra, 1, 504-505. 
  5. RIZZA, G.B. (1987) - On the bisectional curvature of a riemannian manifold, «Simon Stevin», 61, 147-155. Zbl0631.53014MR914931
  6. RIZZA, G.B. (1987) - On the bisectional curvature of an almost hermitian manifold, «Tensor», 44. Zbl0642.53041MR944900
  7. SAWAKI, S. (1972) - On almost-hermitian manifolds satisfying a certain condition on the almost complex structure tensor, Differential Geometry in honor of K. Yano, Kinokuniya, Tokyo, 443-450. Zbl0252.53023MR324610
  8. SAWAKI, S. and SEKIGAWA, K. (1974) - Almost hermitian manifolds with constant holomorphic sectional curvature, «J. Differential Geometry», 9, 123-134. Zbl0277.53036MR338993
  9. TRICERRI, F. and VANHECKE, L. (1981) - Curvature tensors on almost hermitian manifolds, «Trans. AMS», 267, 365-397. Zbl0484.53014MR626479DOI10.2307/1998660

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