public string GetName()

public async Task ObtainingDefinitionsFromGeodatabase()
{
    await ArcGIS.Desktop.Framework.Threading.Tasks.QueuedTask.Run(() =>
    {
        using (Geodatabase geodatabase = new Geodatabase(new DatabaseConnectionFile(new Uri("path\\to\\sde\\file\\sdefile.sde"))))
        {
            IReadOnlyList<FeatureClassDefinition> enterpriseDefinitions = geodatabase.GetDefinitions<FeatureClassDefinition>();
            IEnumerable<Definition> featureClassesHavingGlobalID = enterpriseDefinitions.Where(definition => definition.HasGlobalID());

            IReadOnlyList<FeatureDatasetDefinition> featureDatasetDefinitions = geodatabase.GetDefinitions<FeatureDatasetDefinition>();
            bool electionRelatedFeatureDatasets = featureDatasetDefinitions.Any(definition => definition.GetName().Contains("Election"));

            IReadOnlyList<AttributedRelationshipClassDefinition> attributedRelationshipClassDefinitions = geodatabase.GetDefinitions<AttributedRelationshipClassDefinition>();

            IReadOnlyList<RelationshipClassDefinition> relationshipClassDefinitions = geodatabase.GetDefinitions<RelationshipClassDefinition>();
        }
    });
}

var count = rasterDataset.GetBandCount();
RasterBand rasterBandByName = rasterDataset.GetBandByName(sBandName);
var index = rasterDataset.GetBandIndex(sBandName);

// Get a RasterBand from the raster dataset
RasterBand rasterBand = rasterDataset.GetBand(0);

// Get the RasterBandDefinition from the raster band.
RasterBandDefinition rasterBandDefinition = rasterBand.GetDefinition();
// Get the name of the raster band from the raster band.
string bandName = rasterBandDefinition.GetName();