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 Lincei. Matematica e Applicazioni (1988)

  • Volume: 82, Issue: 1, page 51-59
  • ISSN: 1120-6330

Abstract

top
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

top

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 Lincei. Matematica e Applicazioni 82.1 (1988): 51-59. <http://eudml.org/doc/287262>.

@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 Lincei. Matematica e Applicazioni},
keywords = {Almost hermitian manifolds; Sectional and bisectional curvatures; Schur-type theorems; bisectional curvature; almost Hermitian manifolds; curvature tensors; Bianchi-type identity},
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/287262},
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 Lincei. Matematica e Applicazioni
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; bisectional curvature; almost Hermitian manifolds; curvature tensors; Bianchi-type identity
UR - http://eudml.org/doc/287262
ER -

References

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.