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Yıl 1984, Cilt: 33 , - , 01.01.1984

R. K Nagaıch

https://doi.org/10.1501/Commua1_0000000574

Öz

Kaynakça

  • Communications, Series A1:Mathematics and Statistics

Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds

Yıl 1984, Cilt: 33 , - , 01.01.1984

R. K Nagaıch

https://doi.org/10.1501/Commua1_0000000574

Öz

Cartan [1 ] had proved that a Riemannian Manifold is of constant curvature if R(X,Y, X,Z) = 0 for every orthonormal triplet X,Y and Z. Graves and Nomizu [2 ] have extended this result to Pseudo-Riemannian Manifold. In the present paper this result has been extended to Kahler Manifolds with indefinite metric by proving that: “A Pseudo-Kahler manifold (M, J) is of constant Holomorphic Sectional Curvature if R(X,Y,X,JX) = 0 whenever X,Y and JX are ortbonormal” . A result of Tannö [4 ] on Almost Hermitian Manifold has also been extended to Pseudo-Kahler Manifolds by proving that a criterian for constancy of Holomorphic Sectio­ nal Curvature is that R(X,JX) X is proportional to JX.

Anahtar Kelimeler

holomorphic Pseudo-Kähler manifolds

Kaynakça

  • Communications, Series A1:Mathematics and Statistics
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Article
Yazarlar

R. K Nagaıch Bu kişi benim

Yayımlanma Tarihi 1 Ocak 1984
Gönderilme Tarihi 1 Ocak 1984
Yayımlandığı Sayı Yıl 1984 Cilt: 33

Kaynak Göster

APA Nagaıch, R. K. (1984). Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 33. https://doi.org/10.1501/Commua1_0000000574
AMA Nagaıch RK. Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ocak 1984;33. doi:10.1501/Commua1_0000000574
Chicago Nagaıch, R. K. “Constancy of Holomorphic Sectional Curvature in Pseudo-Kähler Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33, Ocak (Ocak 1984). https://doi.org/10.1501/Commua1_0000000574.
EndNote Nagaıch RK (01 Ocak 1984) Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33
IEEE R. K. Nagaıch, “Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 33, 1984, doi: 10.1501/Commua1_0000000574.
ISNAD Nagaıch, R. K. “Constancy of Holomorphic Sectional Curvature in Pseudo-Kähler Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33 (Ocak 1984). https://doi.org/10.1501/Commua1_0000000574.
JAMA Nagaıch RK. Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33. doi:10.1501/Commua1_0000000574.
MLA Nagaıch, R. K. “Constancy of Holomorphic Sectional Curvature in Pseudo-Kähler Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 33, 1984, doi:10.1501/Commua1_0000000574.
Vancouver Nagaıch RK. Constancy of holomorphic sectional curvature in Pseudo-Kähler manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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