A result concerning equivalence of isometric immersions with related Gauss maps into hyperbolic space has been established
A simple interpretation of the PDE for isometric immersion of the hyperbolic plane ℍ2 into ℝ4 is giv...
We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold Mm into t...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
International audienceGiven an oriented immersed hypersurface in hyperbolic space H^{n+1}, its Gauss...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
The study of isometric immersions of space forms into space forms is a classical problem of differen...
Every isometric immersion of ${\boldsymbol R}^2$ into ${\boldsymbol R}^4$ with vanishing normal curv...
For an RCD$(K,N)$ space $(\mathsf{X},\mathsf{d},\mathfrak{m})$, one can use its heat kernel $\rho$ t...
A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensi...
We transform the problem of determining isometric immersions from $H^n(-1)$ into $H^{n+1}(-1)$ into ...
This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclid...
We seek isometric immersions of $\mathrm{E}^{2} $ into $\mathrm{E}^{4} $. We hope to find them all b...
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic sp...
Abstract. This is a preliminary version of my PhD thesis. In this text we discuss possible ways to g...
A simple interpretation of the PDE for isometric immersion of the hyperbolic plane ℍ2 into ℝ4 is giv...
We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold Mm into t...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
International audienceGiven an oriented immersed hypersurface in hyperbolic space H^{n+1}, its Gauss...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
The study of isometric immersions of space forms into space forms is a classical problem of differen...
Every isometric immersion of ${\boldsymbol R}^2$ into ${\boldsymbol R}^4$ with vanishing normal curv...
For an RCD$(K,N)$ space $(\mathsf{X},\mathsf{d},\mathfrak{m})$, one can use its heat kernel $\rho$ t...
A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensi...
We transform the problem of determining isometric immersions from $H^n(-1)$ into $H^{n+1}(-1)$ into ...
This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclid...
We seek isometric immersions of $\mathrm{E}^{2} $ into $\mathrm{E}^{4} $. We hope to find them all b...
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic sp...
Abstract. This is a preliminary version of my PhD thesis. In this text we discuss possible ways to g...
A simple interpretation of the PDE for isometric immersion of the hyperbolic plane ℍ2 into ℝ4 is giv...
We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold Mm into t...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
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