نتایج جستجو برای: curvature

تعداد نتایج: 41850  

In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].  

Journal: :bulletin of the iranian mathematical society 2011
x. liu a. wang a. song

Journal: :bulletin of the iranian mathematical society 2011
s. shu a. yi han

We establish some relative volume comparison theorems for extremal volume forms of‎ ‎Finsler manifolds under suitable curvature bounds‎. ‎As their applications‎, ‎we obtain some results on curvature and topology of Finsler manifolds‎. ‎Our results remove the usual assumption on S-curvature that is needed in the literature‎.

Journal: :bulletin of the iranian mathematical society 0
s. ‎mallick‎ department of mathematics‎, ‎chakdaha college‎, ‎p‎. ‎o‎. ‎chakdaha‎, ‎dist-nadia‎, ‎west bengal‎, ‎india. p. zhao department of applied mathematics‎, ‎nanjing university of science and technology‎, ‎nanjing 210094‎, ‎p‎. ‎r‎. ‎china. u. c. de department of pure mathematics‎, ‎university of calcutta‎, ‎35‎, ‎b‎. ‎c‎. ‎road‎, ‎kolkata 700019‎, ‎west bengal‎, ‎india.

‎the object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎at first we prove that a quasi-conformally flat spacetime is einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎einstein's field equation with cosmological constant is covariant constant‎. ‎next‎, ‎we prove that if the perfect...

Journal: :bulletin of the iranian mathematical society 2011
a. heydari n. boroojerdian e. peyghan

recently, we have used the symmetric bracket of vector fields, and developed the notion of the symmetric derivation. using this machinery, we have defined the concept of symmetric curvature. this concept is natural and is related to the notions divergence and laplacian of vector fields. this concept is also related to the derivations on the algebra of symmetric forms which has been discus...

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

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

Journal: :bulletin of the iranian mathematical society 2015
x. chao

in this paper, by modifying cheng-yau$'$s technique to complete hypersurfaces in $s^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [h. li, hypersurfaces with constant scalar curvature in space forms, {em math. ann.} {305} (1996), 665--672].

2001
LIU XIMIN

Let Mn be a Riemannian n-manifold. Denote by S(p) and Ric(p) the Ricci tensor and the maximum Ricci curvature on Mn, respectively. In this paper we prove that every C-totally real submanifolds of a Sasakian space form M̄2m+1(c) satisfies S ≤ ( (n−1)(c+3) 4 + n 2 4 H2)g, where H2 and g are the square mean curvature function and metric tensor on Mn, respectively. The equality holds identically if ...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید