Let M1 and M2 be two Kähler manifolds. We call M1 and M2 relatives if they share a non-trivial Kähler submanifold S, namely, if there exist two holomorphic and isometric immersions (Kähler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two Kähler manifolds M1 and M2 are said to be weakly relatives if there exist two locally isometric (not necessarily holomorphic) Kähler manifolds S1 and S2 ...

We study identical mass black hole binaries with spins perpendicular to the binary’s orbital plane. These binaries have individual spins ranging from s=m2 0:90 to 0.90, (s1 s2 in all cases) which is near the limit possible with standard Bowen-York puncture initial data. The extreme cases correspond to the largest initial spin simulations to date. Our results expand the parameter space covered b...

[1] Time series of surface elevation and current velocity in the vicinity of the Chesapeake Bay entrance are assimilated into a linear, barotropic model using an iterative adjoint method. Tide surface elevations, NOAA-NOS tidal data, moored acoustic Doppler current profiler (ADCP), and ocean surface current radar (OSCR) data are included in the assimilation. Data are analyzed for three tidal co...

As the first step in the direction of the Hopf conjecture on the non-existence of metrics with positive sectional curvature on S2 × S2 the authors of [GT] suggested the following (Weak Hopf) conjecture (on the rigidity of non-negatively curved metrics on S2 × R3): ”The boundary S2 × S2 of the S2 × B3 ⊂ S2 × R3 with an arbitrary complete metric of non-negative sectional curvature contains a poin...

Sentinel-2 spectral configurations, S2-10m and S2-20m, were evaluated for retrieving essential crop biophysical biochemical parameters their effect on the performance of three machine learning regression algorithms (MLRAs) in two African semi-arid sites. The results benchmarked against all bands (S2-All). show that S2-20m was more robust Leaf Area Index (LAI) (RMSEcv: 0.58 m2 m−2, 0.47 m−2), wh...

The response of ice streams to ocean tides is investigated. Numerical modelling experiments are conducted using a two-dimensional flow-line model of coupled ice-stream and ice-shelf flow. The model includes all components of the equilibrium equations, and uses a non-linear viscoelastic constitutive equation for ice. Basal sliding is simulated with a Weertman type sliding law where basal sliding...