On purely real surfaces in Kaehler surfaces

Chen, Bang-Yen

On purely real surfaces in Kaehler surfaces

Bang-Yen CHEN (Department, of Mathematics, Michigan State Univercity, USA)

Turkish Journal of Mathematics

1 0

Yıl: 2010 Cilt: 34 Sayı: 2 Sayfa Aralığı: 275 - 292 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On purely real surfaces in Kaehler surfaces

Öz:

An immersion φ: M → $tilde {{cal M}}^ 2$ of a surface M into a Kaehler surface is called purely real if the complex structure J on $tilde {{cal M}}^ 2$ carries the tangent bundle of M into a transversal bundle. In the first part of this article, we prove that the equation of Ricci is a consequence of the equations of Gauss and Codazzi for purely real surfaces in any Kaehler surface. In the second part, we obtain a necessary condition for a purely real surface in a complex space form to be minimal. Several applications of this condition are provided. In the last part, we establish a general optimal inequality for purely real surfaces in complex space forms. We also obtain three classification theorems for purely real surfaces in $C^ 2$ which satisfy the equality case of the inequality.

Anahtar Kelime:

Konular: Matematik

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

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APA	Chen B (2010). On purely real surfaces in Kaehler surfaces. , 275 - 292.
Chicago	Chen Bang-Yen On purely real surfaces in Kaehler surfaces. (2010): 275 - 292.
MLA	Chen Bang-Yen On purely real surfaces in Kaehler surfaces. , 2010, ss.275 - 292.
AMA	Chen B On purely real surfaces in Kaehler surfaces. . 2010; 275 - 292.
Vancouver	Chen B On purely real surfaces in Kaehler surfaces. . 2010; 275 - 292.
IEEE	Chen B "On purely real surfaces in Kaehler surfaces." , ss.275 - 292, 2010.
ISNAD	Chen, Bang-Yen. "On purely real surfaces in Kaehler surfaces". (2010), 275-292.

APA	Chen B (2010). On purely real surfaces in Kaehler surfaces. Turkish Journal of Mathematics, 34(2), 275 - 292.
Chicago	Chen Bang-Yen On purely real surfaces in Kaehler surfaces. Turkish Journal of Mathematics 34, no.2 (2010): 275 - 292.
MLA	Chen Bang-Yen On purely real surfaces in Kaehler surfaces. Turkish Journal of Mathematics, vol.34, no.2, 2010, ss.275 - 292.
AMA	Chen B On purely real surfaces in Kaehler surfaces. Turkish Journal of Mathematics. 2010; 34(2): 275 - 292.
Vancouver	Chen B On purely real surfaces in Kaehler surfaces. Turkish Journal of Mathematics. 2010; 34(2): 275 - 292.
IEEE	Chen B "On purely real surfaces in Kaehler surfaces." Turkish Journal of Mathematics, 34, ss.275 - 292, 2010.
ISNAD	Chen, Bang-Yen. "On purely real surfaces in Kaehler surfaces". Turkish Journal of Mathematics 34/2 (2010), 275-292.