Some geometric structures on the tangent bundle of a Riemannian manifold

• Autorzy: Papaghiuc N.
• Języki publikacji: EN

Abstrakty

EN

It is defined a new almost complex structure with Norden metric (hyperbolic metric) on the tangent bundle TM of an n- dimensional Riemannian manifold M. Next, the conditions under which the considered almost complex structure with Norden metric belongs to one of the eight classes of almost complex manifolds with Norden metric obtained by G. T. Ganchev and D. V. Borisov in the classification from [2] there are studied.

Słowa kluczowe

EN

tangent bundle; pseudo-Riemannian metric; almost complex structure; Norden metric

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 215--228
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Papaghiuc N.

• Department of Mathematics, Technical University, 6600 Iaşi, Romania

Bibliografia

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• [12] N. Papaghiuc, A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold, Colloq. Math. 87(2) (2001), 227-233.
• [13] N. Papaghiuc, A locally symmetric pseudo-Riemannian structure on the tangent bundle, Publ. Math. Debrecen 59(3-4) (2001), 303-315.
• [14] N. Papaghiuc, Some almost complex structures with Norden metric on the tangent bundle of a space form, An. St. Univ. "Al.I.Cuza" Iaşi 46(1) (2000), 99-110.
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