Algebraic models of smooth manifolds and non-zero harmonicity

ÖZTÜRK, Ali

Algebraic models of smooth manifolds and non-zero harmonicity

Ali ÖZTÜRK (Abant İzzet Baysal Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Bolu, Türkiye)

Hacettepe Journal of Mathematics and Statistics

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Yıl: 2007 Cilt: 36 Sayı: 1 Sayfa Aralığı: 49 - 51 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Algebraic models of smooth manifolds and non-zero harmonicity

Öz:

In this note we give an obstruction in terms of $Im H^k(X,Bbb{Z})$ and the Euler characteristic $chi(X)$, to the harmonicity of products of harmonic forms representing cohomology classes on $X_Bbb {C}$, where X is a real algebraic variety.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Akbulut, S and King, H. Topology of real algebraic sets, M. S. R. I. Book Series (Springer,New York, 1992).
[2] Bochnak, J., Coste, M. and Roy, M.-F. Real Algebraic Geometry, (Springer, Berlin and New York, 1998).
[3] Kotschick, D. On products of harmonic forms, Duke Math. Journal, 107, 521-531, 2001.
[4] Ozan, Y. On homology of real algebraic varieties, Proc. Amer. Math. Soc, 129, 3167-3175,2000.
[5] Warner, F. W. Foundations of differentiate manifolds and Lie groups, (Scott, Foresman, Glenview, III., 1971).

APA	ÖZTÜRK A (2007). Algebraic models of smooth manifolds and non-zero harmonicity. , 49 - 51.
Chicago	ÖZTÜRK Ali Algebraic models of smooth manifolds and non-zero harmonicity. (2007): 49 - 51.
MLA	ÖZTÜRK Ali Algebraic models of smooth manifolds and non-zero harmonicity. , 2007, ss.49 - 51.
AMA	ÖZTÜRK A Algebraic models of smooth manifolds and non-zero harmonicity. . 2007; 49 - 51.
Vancouver	ÖZTÜRK A Algebraic models of smooth manifolds and non-zero harmonicity. . 2007; 49 - 51.
IEEE	ÖZTÜRK A "Algebraic models of smooth manifolds and non-zero harmonicity." , ss.49 - 51, 2007.
ISNAD	ÖZTÜRK, Ali. "Algebraic models of smooth manifolds and non-zero harmonicity". (2007), 49-51.

APA	ÖZTÜRK A (2007). Algebraic models of smooth manifolds and non-zero harmonicity. Hacettepe Journal of Mathematics and Statistics, 36(1), 49 - 51.
Chicago	ÖZTÜRK Ali Algebraic models of smooth manifolds and non-zero harmonicity. Hacettepe Journal of Mathematics and Statistics 36, no.1 (2007): 49 - 51.
MLA	ÖZTÜRK Ali Algebraic models of smooth manifolds and non-zero harmonicity. Hacettepe Journal of Mathematics and Statistics, vol.36, no.1, 2007, ss.49 - 51.
AMA	ÖZTÜRK A Algebraic models of smooth manifolds and non-zero harmonicity. Hacettepe Journal of Mathematics and Statistics. 2007; 36(1): 49 - 51.
Vancouver	ÖZTÜRK A Algebraic models of smooth manifolds and non-zero harmonicity. Hacettepe Journal of Mathematics and Statistics. 2007; 36(1): 49 - 51.
IEEE	ÖZTÜRK A "Algebraic models of smooth manifolds and non-zero harmonicity." Hacettepe Journal of Mathematics and Statistics, 36, ss.49 - 51, 2007.
ISNAD	ÖZTÜRK, Ali. "Algebraic models of smooth manifolds and non-zero harmonicity". Hacettepe Journal of Mathematics and Statistics 36/1 (2007), 49-51.