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

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].

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 ...

A numerical study is presented of the influence of plate curvature and taper on the transport of ultrasound guided wave signals for nondestructive evaluation (NDE) and structural health monitoring (SHM) applications. Model formulations for transmission at sharp transitions in plate curvature and thickness taper are summarized. Results are presented showing that transitions in plate curvature an...

In this paper, the capabilities of displacement curvature derived from static response data for finding the location and severity of damage in Euler-Bernoulli beams are assessed. Static response of a beam is obtained using the finite element modeling. In order to reduce the number of measured nodal displacements, the beam deflection is fitted through a polynomial function using a limited number...

‎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 flui...