Zobrazeno 1 - 10
of 71
pro vyhledávání: '"KALAFAT, Mustafa"'
In this paper, we compute the index and nullity for minimal submanifolds of some complex Einstein spaces. We investigate the stability of these minimal submanifolds and suggest a criterion for instability for some cases. We also compute some higher e
Externí odkaz:
http://arxiv.org/abs/2406.03347
Autor:
Kalafat, Mustafa, Yalçınkaya, Eyüp
In this paper, we prove various results on the topology of the Grassmannian of oriented 3-planes in Euclidean 6-space and compute its cohomology ring. We give self-contained proofs. These spaces come up when studying submanifolds of manifolds with ca
Externí odkaz:
http://arxiv.org/abs/1904.04356
Autor:
Kalafat, Mustafa
We exhibit a family of complex manifolds, which has a member at each odd complex dimension and which has the same cohomology groups as the complex projective space at that dimension, but not homotopy equivalent to it. We also analyze the even dimensi
Externí odkaz:
http://arxiv.org/abs/1810.09029
Autor:
Kalafat, Mustafa
Publikováno v:
Internat. J. Math. 29 (2018), no. 14, 1850087, 12 pp
We show that if a compact, oriented 4-manifold admits a coassociative-free immersion into the Euclidean 7-space then its Euler characteristic and signature vanish. Moreover, in the spin case the Gauss map is contractible, so that the immersed manifol
Externí odkaz:
http://arxiv.org/abs/1810.09023
Autor:
Kalafat, Mustafa, Kelekçi, Özgür
We prove a nonexistence theorem for product type manifolds. In particular we show that the 4-manifold $\Sigma_g\times\Sigma_h$ does not admit any locally conformally flat metric arising from discrete and faithful representations for $g\geq 2$ and $h\
Externí odkaz:
http://arxiv.org/abs/1810.09020
Autor:
Kalafat, Mustafa, Sari, Ramazan
In this paper, we study some classes of submanifolds of codimension one and two in the Page space. These submanifolds are totally geodesic. We also compute their curvature and show that some of them are constant curvature spaces. Finally we give info
Externí odkaz:
http://arxiv.org/abs/1608.03252
Autor:
Kalafat, Mustafa, Yalçınkaya, Eyüp
Publikováno v:
In Indagationes Mathematicae May 2021 32(3):579-597
Autor:
Kalafat, Mustafa, Sarı, Ramazan
Publikováno v:
In Differential Geometry and its Applications February 2021 74
Autor:
Kalafat, Mustafa, Koca, Caner
Publikováno v:
Geom. Dedicata. 174 (2015), 401-408
We show that a compact complex surface which admits a conformally K\"ahler metric g of positive orthogonal holomorphic bisectional curvature is biholomorphic to the complex projective plane. In addition, if g is a Hermitian metric which is Einstein,
Externí odkaz:
http://arxiv.org/abs/1410.5001
Autor:
Akbulut, Selman, Kalafat, Mustafa
Publikováno v:
Expo. Math. 34 (2016) 106-129
In this paper we give a survey of various results about the topology of oriented Grassmannian bundles related to the exceptional Lie group G_2. Some of these results are new. We give self-contained proofs here. One often encounters these spaces when
Externí odkaz:
http://arxiv.org/abs/1308.2263