Abstract. The objective of this paper is to present a new Riemannian obstruction to minimal isometric immersions into Euclidean spaces, as an another answer to a question raised by S.S. Chern concerning the existence of minimal isometric immersions into Euclidean spaces. 1
We prove that if M is a closed n-dimensional Riemannian manifold, n \ge 3, with \mathrm{Ric}\ge n-1 ...
In this article we study isometric immersions from Kahler manifolds whose $ left(1,1 right) $ part o...
We prove that if (Formula presented.) is a metric measure space with (Formula presented.) having (in...
S.S. Chern raised the problem to find necessary and suffi-cient conditions for a given Riemannian ma...
WOS: 000572320700001Riemannian maps are generalizations of well-known notions of isometric immersion...
The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressin...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
In this paper, we give natural extensions to cylinders and tori of a classical result due to T. Taka...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
By using new algebraic techniques, two Casorati inequalities are established for submanifolds in a R...
In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and the e...
Motivated by Perelman’s Pseudo-Locality Theorem for the Ricci flow, we prove that if a Riemannian ma...
Motivated by Perelman’s Pseudo-Locality Theorem for the Ricci flow, we prove that if a Riemannian ma...
Let be a domain on an -dimensional minimal submanifold in the outside of a convex set in or ...
All minimal isometric immersions of a Riemannian manifold M into a round sphere arise from eigenfunc...
We prove that if M is a closed n-dimensional Riemannian manifold, n \ge 3, with \mathrm{Ric}\ge n-1 ...
In this article we study isometric immersions from Kahler manifolds whose $ left(1,1 right) $ part o...
We prove that if (Formula presented.) is a metric measure space with (Formula presented.) having (in...
S.S. Chern raised the problem to find necessary and suffi-cient conditions for a given Riemannian ma...
WOS: 000572320700001Riemannian maps are generalizations of well-known notions of isometric immersion...
The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressin...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
In this paper, we give natural extensions to cylinders and tori of a classical result due to T. Taka...
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with tota...
By using new algebraic techniques, two Casorati inequalities are established for submanifolds in a R...
In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and the e...
Motivated by Perelman’s Pseudo-Locality Theorem for the Ricci flow, we prove that if a Riemannian ma...
Motivated by Perelman’s Pseudo-Locality Theorem for the Ricci flow, we prove that if a Riemannian ma...
Let be a domain on an -dimensional minimal submanifold in the outside of a convex set in or ...
All minimal isometric immersions of a Riemannian manifold M into a round sphere arise from eigenfunc...
We prove that if M is a closed n-dimensional Riemannian manifold, n \ge 3, with \mathrm{Ric}\ge n-1 ...
In this article we study isometric immersions from Kahler manifolds whose $ left(1,1 right) $ part o...
We prove that if (Formula presented.) is a metric measure space with (Formula presented.) having (in...