نتایج جستجو برای: sectional curvature

تعداد نتایج: 236077  

Journal: :iranian journal of science and technology (sciences) 2006
m. bektas

in this paper, we obtain two intrinsic integral inequalities of hessian manifolds.

Journal: :iranian journal of science and technology (sciences) 2010
m. tosun

in this paper, the lorentzian version of beltrami-euler formula is investigated in 1n . initially,the first fundamental form and the metric coefficients of generalized timelike ruled surface are calculated and by the help of the christoffel symbols, riemann-christoffel curvatures are obtained. thus, the curvatures of spacelike and timelike tangential sections of generalized timelike ruled surf...

Journal: :bulletin of the iranian mathematical society 2015
x. chen r. yan

in this paper‎, ‎the‎ ‎authors prove that a strictly kähler-berwald manifold with‎ ‎nonzero constant holomorphic sectional curvature must be a‎ kähler manifold‎.

Journal: :Michigan Mathematical Journal 1980

2006
Harish Sheshadri Harish Seshadri HARISH SESHADRI

Let M = M1 ×M2 be a product of complex manifolds. We prove that M cannot admit a complete Kähler metric with sectional curvature K < c < 0 and Ricci curvature Ric > d, where c and d are arbitrary constants. In particular, a product domain in Cn cannot cover a compact Kähler manifold with negative sectional curvature. On the other hand, we observe that there are complete Kähler metrics with nega...

2014
Sangeet Kumar Rakesh Kumar R. K. Nagaich

We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for a GCR-lightlike submanifold of an indefinite comple...

Journal: :bulletin of the iranian mathematical society 2012
füsun özen zengin sezgin altay demirbag s. aynur uysal hülya bagdatli yilmaz

in the first part of this paper, some theorems are given for a riemannian manifold with semi-symmetric metric connection. in the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. we obtain some properties of this manifold having the vectors mentioned above.

2010
Bing Ye Wu Zhongmin Shen

In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.

Journal: :Geometry & Topology 2014

Journal: :Indiana University Mathematics Journal 2017

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