Results 151 to 160 of about 3,675 (265)
Carleman estimates for geodesic X-ray transforms
I will describe a new energy estimate for the geodesic vector field of a manifold of negative curvature. The estimate has several applications including injectivity of non-abelian X-ray transforms.
Paternain, Gabriel
core
On the Computation of Tensor Functions under Tensor‐Tensor Multiplications with Linear Maps
ABSTRACT In this paper, we study the computation of both algebraic and non‐algebraic tensor functions under the tensor‐tensor multiplication with linear maps. In the case of algebraic tensor functions, we prove that the asymptotic exponent of both the tensor‐tensor multiplication and the tensor polynomial evaluation problem under this multiplication is
Jeong‐Hoon Ju, Susana López‐Moreno
wiley +1 more source
ALMOST YAMABE SOLITON AND ALMOST RICCI-BOURGUIGNON SOLITON WITH GEODESIC VECTOR FIELDS
Summary: The aim of this paper is to prove some results about almost Yamabe soliton and almost Ricci-Bourguignon soliton with special soliton vector field. In fact, we prove that every compact non-trivial almost Ricci-Bourguignon soliton with constant scalar curvature is isometric to a Euclidean sphere.
openaire +2 more sources
The United States Magnetotelluric Array and the National Impedance Map
Abstract The United States Magnetotelluric Array (USMTArray) data set, collected in the years 2006–2024, consists of more than 1,700 long‐period magnetotelluric stations covering the entirety of the contiguous United States on a quasi‐regular 70 km grid.
Anna Kelbert +7 more
wiley +1 more source
Jacobi vector fields along geodesics in glued Riemannian manifolds
A glued Riemannian manifold \(M\) is a union of complete connected Riemannian manifolds which are glued at their boundaries. Some examples of surfaces of cylinders, surfaces of cones, tubular hypersurfaces are constructed. The variation vector fields along geodesics (locally minimizing curves) on \(M\) satisfy the Jacobi equation in each component ...
openaire +2 more sources
Measure and continuous vector field at a boundary II: geodesics and support propagation
Nonnegative measures that are solutions to a transport equation with continuous coefficients have been widely studied. Because of the low regularity of the associated vector field, there is no natural flow since nonuniqueness of integral curves is the general rule. It has been known since the works by L. Ambrosio [2] and L. Ambrosio and G. Crippa [3, 4]
Burq, Nicolas +2 more
openaire +2 more sources
Abstract The South Asian summer monsoon has exhibited a pronounced Northwest India‐Indo‐Gangetic Plains rainfall dipole since 1999, with northwest India experiencing a 24.6% increase, while rainfall in the Indo‐Gangetic Plain has decreased by 4.4%.
Nimmakanti Mahendra +5 more
wiley +1 more source
Geodesic orbit and weak symmetric spray manifolds
In this paper, we introduce the geodesic orbit and weakly symmetric properties in homogeneous spray geometry. When a homogeneous spray manifold is endowed with a reductive decomposition, we can use the spray vector field to describe these properties, and
Xu, Xiyun, Xu, Ming
core
Amplification of Flood Hazard and Damage by Compounding Pluvial and Fluvial Flooding
Abstract Flood risk management has traditionally treated fluvial and pluvial flooding in isolation, for example, by producing inundation maps separately for each flood type. Here, we develop an integrated modeling framework capable of capturing the interplay of both flood types when they co‐occur.
Xiaoxiang Guan +8 more
wiley +1 more source
Significant Coastal Dune Loss Challenges California's Climate Resilience and Biodiversity Goals
Abstract Coastal sand dunes support unique biodiversity and buffer beaches and communities against storm impacts. However, these sensitive and dynamic ecosystems are increasingly threatened by erosion, sea‐level rise (SLR), and encroaching coastal development.
T. I. Baxter +12 more
wiley +1 more source

