scientific article

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Weyl's tube formula Gauss-Bonnet theorem comparison theorems complex projective space Chern forms Fermi coordinates parallel hypersurfaces Steiner's formula volume of a tube Bishop-Günther inequalities Fermi vector fields geodesic squares

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items

On the approximate normality of eigenfunctions of the Laplacian, Location of the essential spectrum in curved quantum layers, Unnamed Item, Likelihood ratio tests for a dose‐response effect using multiple nonlinear regression models, The Calderón projector for fibred cusp operators, Hausdorff approximations and volume of tubes of singular algebraic sets, Generalized plane offsets and rational parameterizations, Some characterizations of 2-symmetric submanifolds in spaces of constant curvature, A Bayesian approach for consistent reconstruction of inclusions, Steiner's formula and a variational proof of the isoperimetric inequality, Medial/Skeletal Linking Structures for Multi-Region Configurations, Functional inequalities and manifolds with nonnegative weighted Ricci curvature, Entropy, minimal surfaces and negatively curved manifolds, Harmonic Measures on Covers of Compact Surfaces of Nonpositive Curvature, The transverse entropy functional and the Sasaki-Ricci flow, Complexity of unknotting of trivial 2-knots, The Geometry of Nonparametric Filament Estimation, The probability that a slightly perturbed numerical analysis problem is difficult, Normal coordinate systems from a viewpoint of real analysis, Heat content and horizontal mean curvature on the Heisenberg group, Unnamed Item, Law of large numbers for the maximal flow through a domain of $\mathbb{R}^{d}$ in first passage percolation, Area estimates and rigidity of non-compact 𝐻-surfaces in 3-manifolds, Estimating perimeter using graph cuts, Geodesic reflections in semi-Riemannian geometry, Integrable geodesic flows on tubular sub-manifolds, Ancilla-approximable quantum state transformations, Concerning Nikodym-type sets in 3-dimensional curved spaces, Inner tube formulas for polytopes, Some conjectures on intrinsic volumes of Riemannian manifolds and Alexandrov spaces, A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem, Plurisubharmonic Lyapunov functions, Dirichlet principal eigenvalue comparison theorems in geometry with torsion, Gaussian processes, kinematic formulae and Poincaré's limit, On the total curvature and Betti numbers of complex projective manifolds, Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells, Convolution bodies and their limiting behavior, The biinvariant diagonal class for Hamiltonian torus actions, The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces, Brownian motion and the distance to a submanifold, Convergence of the reach for a sequence of Gaussian-embedded manifolds, Asymptotics for thin superconducting rings, Geodesic spheres and two-point homogeneous spaces, Stable Determination of X-Ray Transforms of Time Dependent Potentials from Partial Boundary Data, On nonimmersibility of compact hypersurfaces into a ball of a simply connected space form, On the completions of the spaces of metrics on an open manifold. II, Regularity of isoperimetric regions that are close to a smooth manifold, Poincaré-Lovelock metrics on conformally compact manifolds, Superforms, supercurrents, minimal manifolds and Riemannian geometry, The Sasaki-Ricci flow on Sasakian 3-spheres, A weak comparison principle in tubular neighbourhoods of embedded manifolds, Kähler tubes of constant radial holomorphic sectional curvature, Existence of bound states for layers built over hypersurfaces in $\mathbb R^{n+1}$, Witten spinors on nonspin manifolds, Solutions of some nonlinear elliptic problems, which are singular on a submanifold, On scalar curvature lower bounds and scalar curvature measure, Euler characteristics for Gaussian fields on manifolds, The Brownian traveller on manifolds, The Brylinski beta function of a surface, Hypersurfaces in space forms satisfying some curvature conditions, Total mean curvatures of Riemannian hypersurfaces, Heat kernel expansions in vector bundles, Construction of nonlinear quasimodes near elliptic periodic orbits, On the isoperimetric rigidity of extrinsic minimal balls., Complete convex solutions of Monge-Ampère-type equations and their analogs, The Steiner formula for Minkowski valuations, Saddlepoint approximations and nonlinear boundary crossing probabilities of Markov random walks, Eigenvalue inequalities for the $p$-Laplacian on a Riemannian manifold and estimates for the heat kernel, An index theorem for anti-self-dual orbifold-cone metrics, From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies, Location of hot spots in thin curved strips, Harmonic manifolds and tubes, A cut-off tubular geometry of loop space, Nonparametric estimation of surface integrals on level sets, Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds, The tube method for the moment index in projection pursuit, Local times of self-intersection, On the Sobolev trace theorem for variable exponent spaces in the critical range, Integral formulae on foliated symmetric spaces, Book review of: M. Lapidus et al., Fractal zeta functions and fractal drums. Higher-dimensional theory of complex dimensions, The Cheeger constant of curved tubes, Two natural generalizations of locally symmetric spaces, On mean curvatures in submanifolds geometry, Scattering theory for the Laplacian on manifolds with bounded curvature, Box dimension of spiral trajectories of some vector fields in $\mathbb R^3$, Special coordinate systems in pseudo-Finsler geometry and the equivalence principle, Harmonicity and minimality of complex and quaternionic radial foliations, The constant osculating rank of the Wilking manifold $V_{3}$, Geometry of tubes about characteristic curves on Sasakian manifolds, Eigenvalues of elliptic operators with density, Exact rates in density support estimation, Kinematic formula for heterogeneous Gaussian related fields, The volume of non-uniform tubular neighborhoods and an application to the $n$-dimensional Szegö theorem, Balls in complex hyperbolic manifolds, Upper bounds on the distribution of the condition number of singular matrices, Equivariant Willmore surfaces in conformal homogeneous three spaces, Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds, Pappus type theorems for hypersurfaces in a space form., Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators, A Gaussian kinematic formula, A Schläfli-type formula for polytopes with curved faces and its application to the Kneser-Poulsen conjecture, What are the longest ropes on the unit sphere?, A Steiner formula in the $L_p$ Brunn Minkowski theory, Fractal analysis of spiral trajectories of some vector fields in $\mathbb R^3$, General formulas for the smoothed analysis of condition numbers, Total curvatures of geodesic spheres associated to quadratic curvature invariants, Asymptotics and optimal bandwidth for nonparametric estimation of density level sets, The Steklov and Laplacian spectra of Riemannian manifolds with boundary, Stable length estimates of tube-like shapes, A kinematic formula for integral invariant of degree 4 in real space form, Optimal weighted nearest neighbour classifiers, Spectrum, harmonic functions, and hyperbolic metric spaces, Fun problems in geometry and beyond, Renormalizing curvature integrals on Poincaré-Einstein manifolds, Holomorphic geodesic transformations, Maximally degenerate Laplacians, On isoperimetric surfaces in general relativity. II., Mean curvature flow of graphs in warped products, Wiener functionals associated with joint distributions of exit time and position from small geodesic balls, On excursion sets, tube formulas and maxima of random fields., Residue families, singular Yamabe problems and extrinsic conformal Laplacians, Asymptotic approximations for error probabilities of sequential or fixed sample size tests in exponential families., Tail probabilities of the maxima of multilinear forms and their applications., Codimension one minimal cycles with coefficients in $Z$ or $Z_p$, and variational functionals on fibered spaces, Comparing the relative volume with a revolution manifold as a model, The Caffarelli-Kohn-Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature, Squeezing in Floer theory and refined Hofer-Zehnder capacities of sets near symplectic sub\-manifolds, On the entropies of hypersurfaces with bounded mean curvature

Uses Software

Mathematica