# Some Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres

Serdica Mathematical Journal (1999)

- Volume: 25, Issue: 1, page 83-90
- ISSN: 1310-6600

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topErdem, Sadettin. "Some Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres." Serdica Mathematical Journal 25.1 (1999): 83-90. <http://eudml.org/doc/11506>.

@article{Erdem1999,

abstract = {It is shown that the spheres S^(2n) (resp: S^k with k ≡ 1 mod 4)
can be given neither an indefinite metric of any signature (resp: of signature
(r, k − r) with 2 ≤ r ≤ k − 2) nor an almost paracomplex structure. Further
for every given Riemannian metric on an almost para-Hermitian manifold
with the associated 2-form φ one can construct an almost Hermitian structure
(under certain conditions, two different almost Hermitian structures)
whose associated 2-form(s) is φ.},

author = {Erdem, Sadettin},

journal = {Serdica Mathematical Journal},

keywords = {Hermitian; Para-Hermitian and Indefinite Metric; indefinite metric; para-Hermitian manifold; almost paracomplex structure},

language = {eng},

number = {1},

pages = {83-90},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Some Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres},

url = {http://eudml.org/doc/11506},

volume = {25},

year = {1999},

}

TY - JOUR

AU - Erdem, Sadettin

TI - Some Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres

JO - Serdica Mathematical Journal

PY - 1999

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 25

IS - 1

SP - 83

EP - 90

AB - It is shown that the spheres S^(2n) (resp: S^k with k ≡ 1 mod 4)
can be given neither an indefinite metric of any signature (resp: of signature
(r, k − r) with 2 ≤ r ≤ k − 2) nor an almost paracomplex structure. Further
for every given Riemannian metric on an almost para-Hermitian manifold
with the associated 2-form φ one can construct an almost Hermitian structure
(under certain conditions, two different almost Hermitian structures)
whose associated 2-form(s) is φ.

LA - eng

KW - Hermitian; Para-Hermitian and Indefinite Metric; indefinite metric; para-Hermitian manifold; almost paracomplex structure

UR - http://eudml.org/doc/11506

ER -

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