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Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces

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Jurgen Berndt, Jose Carlos Diaz-Ramos

Differential Geometry · Submitted 18 Jul 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two.

how it is stated · asserted 0.99 read the record →

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arXiv IDmath/0507361 (version 1)
Pith IDCM6ZU3LY, Pith's permanent record of this paper and its review
CitationJose Carlos Diaz-Ramos, Jurgen Berndt. "Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces." arXiv:math/0507361 (2005). https://pith.science/paper/CM6ZU3LY
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,602 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.56 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two. contribution 0.91 0.92 0.75 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • references and citing sentences
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  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two.

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