Results 41 to 50 of about 1,280 (66)
Dependence of the Gauss-Codazzi equations and the Ricci equation of Lorentz surfaces [PDF]
The fundamental equations of Gauss, Codazzi and Ricci provide the conditions for local isometric embeddability. In general, the three fundamental equations are independent for surfaces in Riemannian 4-manifolds. In contrast, we prove in this article that
Chen, Bang-Yen
core
Total torsion of three-dimensional lines of curvature. [PDF]
Raffaelli M.
europepmc +1 more source
Classification of Rank-One Submanifolds. [PDF]
Raffaelli M.
europepmc +1 more source
Invariant, anti-invariant and slant submanifolds of a metallic Riemannian manifold
Properties of invariant, anti-invariant and slant isometrically immersed submanifolds of metallic Riemannian manifolds are given with a special view towards the induced $\Sigma$-structure.
Blaga, Adara M., Hretcanu, Cristina E.
core
DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE
: In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.
Mehmet ÖNDER
doaj
Complex product manifolds cannot be negatively curved
We show that if $M = X \times Y$ is the product of two complex manifolds (of positive dimensions), then $M$ does not admit any complete K\"ahler metric with bisectional curvature bounded between two negative constants.
Seshadri, Harish, Zheng, Fangyang
core
Estimating the Reach of a Manifold via its Convexity Defect Function. [PDF]
Berenfeld C+3 more
europepmc +1 more source
SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS
J. Cabrerizo+3 more
semanticscholar +1 more source
ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
Bang‐Yen Chen
semanticscholar +1 more source