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  • 07.65  (1)
  • Einstein metric  (1)
  • 1
    Electronic Resource
    Electronic Resource
    The third fundamental form metric for hypersurfaces in nonflat space forms (1999)
    Springer
    Journal of geometry 65 (1999), S. 130-142 
    Details
    ISSN: 1420-8997
    Keywords: 53 B 25 ; 53 C 42 ; 53 C 25 ; third fundamental form metric ; hypersurfaces in nonflat space forms ; Einstein metric ; Codazzi tensor ; isoparametric hypersurfaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For hypersurfaces with regular Weingarten operator in nonflat space forms we study the relations between the intrinsic geometry of the third fundamental form metric and the extrinsic geometry of the hypersurface. We prove a theorema-egregium-type result for this metric and, in particular, give a local classification of hypersurfaces in case of an Einstein structure of this metric.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228684
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  • 2
    Electronic Resource
    Electronic Resource
    Detection of methane in air using diode-laser pumped difference-frequency generation near 3.2 μm (1995)
    Springer
    Applied physics 61 (1995), S. 553-558 
    Details
    ISSN: 1432-0649
    Keywords: 07.65 ; 33.00 ; 42.60 ; 42.65 ; 42.80
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Spectroscopic detection of the methane in natural air using an 800 nm diode laser and a diode-pumped 1064 nm Nd:YAG laser to produce tunable light near 3.2 µm is reported. The lasers were pump sources for ring-cavity-enhanced tunable difference-frequency mixing in AgGaS2. IR frequency tuning between 3076 and 3183 cm−1 was performed by crystal rotation and tuning of the extended-cavity diode laser. Feedback stabilization of the IR power reduced intensity noise below the detector noise level. Direct absorption and wavelength-modulation (2f) spectroscopy of the methane in natural air at 10.7 kPa (80 torr) were performed in a 1 m single-pass cell with 1 µW probe power. Methane has also been detected using a 3.2 µm confocal build-up cavity in conjunction with an intracavity absorption cell. The best methane detection limit observed was 12 ppb m (Hz.)−1/2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01091213
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