Results 21 to 30 of about 302 (31)

A note on twisted Dirac operators on closed surfaces

, 2018
We derive an inequality that relates nodal set and eigenvalues of a class of twisted Dirac operators on closed surfaces and point out how this inequality naturally arises as an eigenvalue estimate for the $\rm Spin^c$ Dirac operator.
Branding, Volker
core   +1 more source

Rigidity of minimal submanifolds in hyperbolic space

, 2010
We prove that if an $n$-dimensional complete minimal submanifold $M$ in hyperbolic space has sufficiently small total scalar curvature then $M$ has only one end. We also prove that for such $M$ there exist no nontrivial $L^2$ harmonic 1-forms on $M$
D. Hoffman, G. Yun, H. Cao, H.P. McKean, K. Seo, Keomkyo Seo, L. Ni, L.F. Cheung, M.T. Anderson, P.F. Leung, S.W. Wei, X. Wang   +11 more
core   +1 more source

Curvature estimates for submanifolds in warped products

, 2010
We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space
Alias, L. J., Bessa, G. P., Montenegro, J. F., Piccione, P.   +3 more
core   +1 more source

Bounds for eigenvalue ratios of the Laplacian [PDF]

, 2011
For a bounded domain $\Omega$ with a piecewise smooth boundary in an $n$-dimensional Euclidean space $\mathbf{R}^{n}$, we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian.
Q. -m. Cheng, Qing-ming Cheng, X. Qi, Xuerong Qi   +3 more
core  

Regularized Laplacian determinants of self-similar fractals. [PDF]

Lett Math Phys, 2018
Chen JP, Teplyaev A, Tsougkas K.
europepmc   +1 more source

A Polyakov Formula for Sectors. [PDF]

J Geom Anal, 2018
Aldana CL, Rowlett J.
europepmc   +1 more source

Isolation of polymer-degrading bacteria and characterization of the hindgut bacterial community from the detritus-feeding larvae of Tipula abdominalis (Diptera: Tipulidae). [PDF]

Appl Environ Microbiol, 2007
Cook DM, DeCrescenzo Henriksen E, Upchurch R, Peterson JB.   +3 more
europepmc   +1 more source

Tropical parabiotic ants: Highly unusual cuticular substances and low interspecific discrimination. [PDF]

Front Zool, 2008
Menzel F, Blüthgen N, Schmitt T.
europepmc   +1 more source

Geometric Bounds for Low Steklov Eigenvalues of Finite Volume Hyperbolic Surfaces. [PDF]

J Geom Anal
Hassannezhad A, Métras A, Perrin H.
europepmc   +1 more source

On the Cheeger Inequality in Carnot-Carathéodory Spaces. [PDF]

J Geom Anal
Kluitenberg M.
europepmc   +1 more source